Corrections to

An Introduction to Quantum Field Theory

by Michael E. Peskin and Daniel V. Schroeder

(Westview Press, 1995)

This page lists corrections to the first four printings of our book; all of the errors listed here should be corrected in the fifth and subsequent printings. For a list of more recently reported errors (not yet corrected in any printing), click here.

This version of the list is organized sequentially by page number. The same list is also available in two other formats, grouped by level of importance and grouped according to the dates when the corrections were reported.

To see corrections for a particular chapter, click on the chapter number:

Front Matter
Part I: 1 2 3 4 5 6 7 final project
Part II: 8 9 10 11 12 13
Part III: 15 16 17 18 19 20 21
Epilogue: 22
Appendix
Bibliography

Front Matter:
- p. iv: In the figure credits, "7.8" should be "7.9".
- p. iv: Just below the figure credits, "souce" should be "source".
Chapter 1:
- p. 7: The right-hand side of eq. (1.5) should read "e(0,cos theta, i , -sin theta)". (Thanks to A. Ota.)
- p. 7: In eq. (1.6), the right-hand side should have an overall factor (-1). Similarly, in eq. (1.7), the right-hand side in each line should be multiplied by -1. (Thanks to A. Ota.)
Chapter 2:
- p. 14: In second line of the first unnumbered equation, "d^3p" should be "d^3p/(2pi)^3". (Thanks to M. Hashimoto.)
- p. 23: On the last line, "integation" should be "integration".
- p. 27: In eq. (2.52), under the square root in the denominator, "m^2 - rho^2" should be "rho^2 -m^2".
Chapter 3:
- p. 42: In the unnumbered equation at the very bottom of the page, in the fourth line, "psi(x)" should be "psi(Lambda^-1 x)" (as in the other lines). (Thanks to D. Bowser-Chao.)
- p. 43: In the second line of text after eq. (3.32), the transformation should read "(1 + i/2 omega ...)" instead of "(1 - i/2 omega ...)". (Thanks to P. Goldstein.)
- p. 52: In eq. (3.82), "u_{2R}" and "u_{4R}" should be replaced whereever they appear by "u_{2L}" and "u_{4L}". Also, just in front of "u_{4R/L}" at the right-hand end of the first two lines, "sigma_lambda" should be "bar sigma_lambda". (Thanks to S. Baek.)
- p. 56: In the first unnumbered equation, "(2pi)^2" should be "(2pi)^3". (Thanks to M. Patel.)
- p. 57: In the first sentence, "in terms of a and a^dagger" should read "in terms of a and b^dagger". (Thanks to D. Bowser-Chao.)
- p. 59: In the first unnumbered equation below (3.109), on the right-hand side, "E_p" should be replaced by "2E_p" both in the numerator (under the square root) and in the denominator. Similarly, in the second unnumbered equation, "E_{tilde p}" under the square root should be replaced by "2 E_{tilde p}". (Thanks to C.-W. Chiang.)
- p. 59: In eq. (3.110) and in the unnumbered equation above it, "sum_s" has been omitted. (Thanks to S. Baek.)
- p. 60: In the sentence just above eq. (3.111), "y- and z-axes" should be "x- and y-axes". (Thanks to T. Nagano.)
- p. 61: In the second unnumbered equation, "j_z" should be "J_z". (Thanks to A. Gusso.)
- p. 61: In the third and fourth lines above eq. (3.112), "absense" should read "absence". (Thanks to S. Castonguay.)
- p. 68: In eq. (3.136) the quantities "p dot sigma" and "p dot sigma-bar" should appear without stars. In the unnumbered equation next after (3.137), "xi^*" should be "(xi^s)^*". Again, in the equation just above (3.144), we have written "xi" for "xi^s". (Thanks to S. Gottlieb.)
- p. 68: Just below the unnumbered equation next after (3.137), and continuing onto the next page, the text should read as follows: "Similarly, for v^s(p),
  v^{-s}(ptilde) = - gamma^1 gamma^3 (v^s(p))^* ;
  in this relation, v^(-s) contains xi^{-(-s)} = - xi^s.
  Using the notation of Eq. (3.137), we define the time reversal transformation of fermion annihilation operators as follows:
  Ta^s_p T = a^{-s}_{-p} , Tb^s_p T = +b^{-s}_{-p} .
  An additional overall phase ..." The second sentence below eq. (3.139) should be modified to "Just as for parity, we can derive a simple transformation law for the fermion field psi(x). The relative minus sign in the transformation laws of particle and antiparticle is still present here, implicit in the flipped spinor convention used in defining v^{-s}." (Thanks to K. Liang.)
- p. 70: In eq. (3.145), just after the summation sign in the first line, "(-i gamma^2 b^s" should read "(-i gamma^2 b^s_p". (Thanks to C. Ahn.)
- p. 74: In problem 3.4(e), the right-hand side of the equation should be "delta_{ab} delta^{(3)}(x-y)". (Thanks to M. Milenkovic.)
- p. 74: In Problem 3.5(a), the tranformation law for the chi field has an incorrect sign in the second term. It should read: \delta \chi = \epsilon F + \sigma\cdot\del \phi \sigma^2 \epsilon^* . (Thanks to C. Wiegert.)
- p. 75: In the equation in Problem 3.6(a), omit the comma (",") inside the trace.
Chapter 4:
- p. 98: In the unnumbered equation above eq. (4.55), on the first line, the expectation value should be time-ordered. Thus, "<0|" should be replaced by "<0| T { ". (Thanks to T. Mataigne.)
- p. 98: At the end of the first line below eq. (4.55), "delta(0)" should be "delta^(4)(0)". (Thanks to P. Dahbeh.)
- p. 104: In eq. (4.74), the matrix element on the right-hand side should be between the out state and the in state with the momenta shown. (Thanks to H. Fuji.)
- p. 107: The line just below (4.81) should read "E_1 = sqrt{p_1^2 + m_1^2}, E_2 = sqrt{p_1^2 + m_2^2}". (Thanks to D. Bowser-Chao.)
- p. 114: In the first line of eq. (4.103), in the argument of the delta-function, all three "p"'s should be in normal script rather than bold-face (i.e., four-vectors rather than three-vectors). (Thanks to C. Ahn.)
- p. 119: In the figure on the left-hand side of the first displayed equation, the labels "x" and "y" should be interchanged. (Thanks to S. Tazawa.)
- p. 120: In eq. (4.120), the second line should begin: "(-1) tr psi psibar ... ". (Thanks to S. Tazawa.)
- p. 125: In eq. (4.136), "e" should be "e^2". (Thanks to D. Bowser-Chao.)
- p. 126: In the equation in Problem 4.1(a), "-i" in the exponent should be simply "i". (Thanks to D. Bowser-Chao.)
Chapter 5:
- p. 135: In the unnumbered equation just above eq. (5.10), on the left-hand side of the equation, the last matrix in the trace should be "gamma_nu".
- p. 141: The paper of Swartz referred to in the figure caption of Fig. 5.3 has been published: Phys. Rev. D53, 5268 (1996).
- p. 146: In the second and third lines of eq. (5.30), "sin theta" should be replaced by "-sin theta". Just below eq. (5.31), the phrase "(up to a sign)" should be removed; see the correction to Chapter 1, p. 7, above. (Thanks to A. Ota.)
- p. 149: Just below eq. (5.42), "psi(r)" should appear with a vector "r". (Thanks to A. Gusso.)
- p. 152: In line 6, "Fig. 5.2" should read "Fig. 5.3". (Thanks to C. Hays.)
- p. 154: In eq. (5.62), on the right-hand side, the last term in parentheses should be "m_mu^2(1-cos theta)", not "m_mu^2 (1-cos theta)^2". The same correction should be made in eq. (5.64). (Thanks to D. E. Kaplan.)
- p. 162: In eq. (5.84), the term "m^2 (u-m^2)" should read "m^2 (s-m^2)". Similarly, in eq. (5.85), the term "m^2 (s-m^2)" should read "m^2 (u-m^2)". (Thanks to J. Heise.)
- p. 163: In the first line of the formula following eq. (5.89), "(2pi)^2" should be "(2pi)^4". (Thanks to J. Heise.)
- p. 164: Just below eq. (5.94), "(5.92)" should read "(5.94)". (Thanks to P. Dahbeh.)
- p. 167: There are some errors in the passage from eq. (5.103) to eq. (5.104). The right-hand side of (5.104) should read: "(2 pi alpha^2/ s ((1-y) + m^2/s)^2 ) ((1-y) + m^2/s)". (Thanks to S. Ogushi.)
- p. 171: In the second displayed equation, "gamma^\mu" should be "gamma_\mu". (Thanks to M. Milenkovic.)
- p. 173: The last line of part (a) of Problem 5.5 should read "discussed in Section 5.3". (Thanks to K.-K. Liang.)
Chapter 6:
- p. 177: In eq. (6.3) and in the unnumbered equation just above it, the indices "mu" should not appear inside the delta function. The explicit four vectors should be written "(1,0)^mu" and "(t,0)^mu". (Thanks to P. Dahbeh.)
- p. 177: In the first line of the unnumbered equation below (6.3), "del_mu delta(x-y(tau))" should read "del_mu delta^(4)(x-y(tau))". (Thanks to M. Moraghebi.)
- p. 178: In the unnumbered equation at the top of the page, the whole right-hand side should be multiplied by "e". (Thanks to M. Hashimoto.)
- p. 181: In the unnumbered equation at the bottom of the page, the lower limit of the second integral on the right-hand side should be "k dot v' = v dot v'". (Thanks to S. Ogushi.)
- p. 182: In eq. (6.20), the right-hand side should be multiplied by (-ie). (Thanks to M. Hashimoto.)
- p. 183: In the second half of the equation just above (6.22), "(p'-k)^2" should be "(p'+k)^2". (Thanks to M. Hashimoto.)
- p. 185: In the line just below eq. (6.29), "j_mu" should read "j^mu". (Thanks to C. Ahn.)
- p. 186: In the third line of the second paragraph, "Section 5.4" should read "Section 5.5.
- p. 189: The first line of eq. (6.38) should more properly read: "ubar(p') deltaGamma(p',p) u(p) ". The same correction should be made in eq. (6.47) on p. 192. (Thanks to X. Tata.)
- p. 192: In the figure, the poles are actually located at: pm (sqrt( \vec \ell^2 + Delta)- i epsilon). (Thanks to D. E. Kaplan.)
- p. 192: In the unnumbered equation just underneath the figure, at the end of the first line, "(1 - 2z - z^2)" should read "(1-2z-z^2)m^2". Eq. (6.47) just below is correct as written. (Thanks to T. Nagano.)
- p. 195: Three lines below eq. (6.55), "Section 4.5" should be "Section 4.6". (Thanks to D. E. Kaplan.)
- p. 204: Four lines above eq. (6.75), "permuation" should read "permutation". (Thanks to S. F. Tuan.)
- p. 205: At the very bottom of the page "-2 dot sum k" should read "-2 p dot sum k". (Thanks to D. E. Kaplan.)
- p. 208: Two lines above the Problems, "precicely" should read "precisely". (Thanks to S. F. Tuan.)
- p. 209: In the line just above the second equation in Problem 6.2, part (a), "\tilde q^\mu" should read "\tilde q". (Thanks to J. Rico.)
Chapter 7:
- p. 217: In the third line on the page, "d^2p" should read "d^4p". (Thanks to C. Ahn.)
- p. 219: In the unnumbered equation at the top of the page, the right-hand side should be multiplied by (1/2). (Thanks to M. Hashimoto.)
- p. 220: In the numerator of the argument of the logarithm in eq. (7.28), "Lambda^2" should be "xLambda^2". (Thanks to M. Hashimoto.)
- p. 222: The unnumbered equation following eq. (7.32) is a mess. On the right-hand side, both denominators should read "(1-z)^2 m^2 + z mu^2" instead of "(1-z)^2 m^2 - mu^2". The numerator of the integrand on the first line should read "2(1-z)m^2 - mu^2", not "2(1-z)m^2". With these corrections, it is actually true that delta F_1(0) + delta Z_2 = 0. (Thanks to Z. Ligeti.)
- p. 224: Just below eq. (7.36), there should be a comment: "At the pole, the exponential factors can be replaced by 1". (Thanks to S. Gottlieb.)
- p. 227: Under the tilde in eq. (7.42), change "q^0_j" to "k^0_j" and "E_qj" to "E_kj". (Thanks to C. Ahn.)
- p. 228: In the equation just below the figure, the left-hand side should read: "-i M^2(p^2)". "M(p^2)" should be replaced by "M^2(p^2)" at the very bottom of p. 227 and twice just below eq. (7.43). (Thanks to S. Gottlieb.)
- p. 228: In the first line of eq. (7.43), the right-hand side should show a bare propagator (i.e., a simple horizontal line), plus the series of diagrams given in the text. (Thanks to C. Wiegert.)
- p. 231: The discussion leading to eq. (7.49) is somewhat oversimplified. The left-hand side of eq. (7.49), and that of the unnumbered equation just above it, should read: "-i(M(a->b) - M(b_->a)^*)". Eq. (7.49) is valid for forward scattering, i.e., when a=b. In some other situations in which the relative phase of the states a and b is well determined, one can show that M(a->b) = M(b->a) and again recover eq. (7.49). (Thanks to I. Dunietz.)
- p. 237: The header on this page refers to the section on the following page. (Thanks to D. Bowser-Chao.)
- p. 237: Just below eq. (7.60), "Im M(m^2)" should be "Im M^2(m^2)". (Thanks to T. Nagano.)
- p. 242: In the figure in the middle of the page, on the left-hand side, the photon line labeled "k" should also carry an index "mu", which is contracted with the index of "k_mu". (Thanks to M. Hashimoto.)
- p. 248: On the 8th line from the bottom, "Ward identiy" should read "Ward identity".
- p. 250: In eq. (7.84), on the right-hand side, the term in parentheses should read: "(2/epsilon - log Delta - gamma + log(4pi) )". A similar correction must be made in the second line of eq. (7.90). The log(4pi) term cancels out of the expressions from (7.91) on.
- p. 252: In the unnumbered equation just above (7.91), the left-hand side should read "(e^2 - e_0^2)/e_0^2". Also, just above eq. (7.94), "Pi-hat" should read "Pi-hat_2". (Thanks to M. Hashimoto.)
Final Project for Part I:
- p. 262: In the first line "distribution of a measure" should read "distribution is a measure". (Thanks to A. Falk.)
- p. 262: In the final formula, "4 pi alpha" should be "4 pi alpha^2". Also, the " + ..." should be omitted; this is the complete formula for the cross section to order alpha_g. (Thanks to N. Graham and T. Hauer.)
Chapter 8:
- p. 269: In eq. (8.1), "-H" should be replaced by "+H".
Chapter 9:
- p. 276: Toward the end of the next-to-last paragraph, "functional deriviative" (in italics yet!) should be "functional derivative". (Thanks to S. Oser.)
- p. 279: In the unnumbered equation just above eq. (9.6), in the third term in the brackets, "del^2/d x_b^2" should read "del^2/del x_b^2". (Thanks to M. Moraghebi.)
- p. 285: Just below eq. (9.21), "|n^mu| < pi/epsilon" should read "|k^mu| < pi/epsilon". (Thanks to S. Gottlieb.)
- p. 285: In the equation at the bottom of the page, in the last line, the right-hand side should be multiplied by (-1). Similarly, in eq. (9.23) on the next page, the exponents in the second and third lines should be multiplied by (-1). Curiously, the fourth and fifth lines of this equation are correct. (Thanks to S. Gottlieb.)
- p. 286: On the very last line of the page, "dx" should be "dx_i". (Thanks to M. Hashimoto.)
- p. 287: In the unnumbered equation at the bottom of the page, the denominator outside the parentheses should read "m^2 - k_m^2 - i epsilon", that is, with "k_n" replaced by "k_m". Similarly, in the unnumbered equation in the middle of p. 288, in the denominators outside the parentheses, one "k_n" should be replaced by "k_m" and one by "k_p". (Thanks to S. Gottlieb.)
- p. 291: In eq. (9.40), in the third line, "Z[J]" should be replaced by "Z[J]/Z_0". (Thanks to S. Gottlieb.)
- p. 293: In eq. (9.48), the numerator of the integrand should be exp(i k_E . (x_E1 - x_E2) )". (Thanks to M. Hashimoto.)
- p. 295: In the line just below the first unnumbered equation, "A_mu(x) = del_mu alpha(x)" should read "A_mu(x) = (1/e) del_mu alpha(x)". (Thanks to S. Castonguay.)
- p. 297: In the footnote, the Yennie gauge should be defined as "xi = 3". (Thanks to J. H. Kuhn.)
- p. 299: In the last line of the second paragraph, it should read "multiplication". (Thanks to R. MacKenzie.)
- p. 299: In the first line below the third displayed equation on the page, "F(theta)" should be "f(theta)". (Thanks to P. Paul.)
- p. 300: The unnumbered equation just below (9.65) should end with a period. The two lines below should read: "We can now treat $\theta$ and $\theta^*$ as independent Grassmann numbers and adopt the convention $\int d\theta^* d\theta (\theta\theta^*) = 1$." (Thanks to S. Cullen and P. Elmfors.)
- p. 308: Just under the second displayed equation on the page, "this the is quantity" should read "this is the quantity". (Thanks to M. Hashimoto.)
- p. 310: In the second line above (9.99), "repect" should be "respect". (Thanks to D. Clougherty.)
Chapter 10:
- p. 319: In the first line below the third displayed equation, "repect" should read "respect". (Thanks to S. F. Tuan.)
- p. 324: In the second line above eq. (10.16), "exactly we originally guessed" should read "exactly as we originally guessed". (Thanks to J. L. Jacobsen.)
- p. 326: In the figure expressing the diagrammatic expansion of the 2-particle scattering amplitude, the diagram with the counterterm vertex proportional to delta lambda should also be included. (Thanks to S. Gottlieb.)
- p. 328: Throughout the discussion of pp. 328-329, "M(p^2)" should be replaced by "M^2(p^2)".
- p. 329: In the first line of eq. (10.33), the integral d^dl should be preceded by the integral "\int^1_0 dx". Also, "m^2" in the numerator should be "m_f^2". In the second line, the plus sign (+) between the two terms in parentheses should be a minus sign (-). The third line of the equation should be multiplied by "(d-1)". The right-hand side of eq. (10.34) should be multiplied by "(d-1)". In eq. (10.35), the first line should be multiplied by "(d-1)". In the second line of this equation, the overall coefficient should be multiplied by 3 and "gamma" should be changed to "(gamma+2/3)". (Thanks to T. Nagano and C. Wiegert.)
- p. 329: The left-hand side of eq. (10.34) should read "delta_m - m^2 \delta_Z". (Thanks to S. Oser.)
- p. 333: The extreme left-hand side of eq. (10.42) should be "delta_m - m delta_2" instead of "delta_m". (Thanks to T. Peterson.)
- p. 334: Near the end of the paragraph below eq. (10.46), "delta F_1(0) = d Sigma_2/d pslash" should read "delta F_1(0) = - d Sigma_2/d pslash". (Thanks to Y. S. Song.)
- p. 335: In equation (10.48), "e" should appear on the left-hand side, and "e_0" should appear on the right-hand side. (Thanks to S. Gottlieb.)
- p. 337: In the last line, and in the footnote on the following page, "Bogliubov" should read "Bogoliubov". Note that "Bogoliubov"="Beloved of God", so we apologize sincerely for this error. (Thanks to S. F. Tuan.)
- p. 341: In the second line, the "O(lambda^2) vertex correction" is actually the "O(lambda^3) vertex counterterm". This same error recurs in the middle of p. 343. (Thanks to M. Hashimoto.)
- p. 341: In eq. (10.54), there is an extra parenthesis to the left of "iV". This should be replaced by a dot or times sign. (Thanks to M. Hashimoto.)
- p. 342: In the denominator of eq. (10.57), the second term should be: "(1-w)(m^2 - k^2 - 2y kp - y p^2)"; that is, two signs need to be changed. Eq. (10.58) is correct, but it would be clearer if it were written: "m^2 - P^2 - [(1-w) + wx(1-x)] l^2". (Thanks to K. Li.)
- p. 343: Three lines above the end of the first paragraph, "O(lambda^2)" should read "O(lambda^3)". (Thanks to R. MacKenzie.)
- p. 345: In the second line of problem 10.2(b), "implementing the renormalization ... part (a)" should be replaced by: "implementing a sufficient set of renormalization conditions". (Thanks to R. MacKenzie.)
- p. 345: In Problem 10.3, on the right-hand side "(4pi)^2" should be "(4pi)^4". (Thanks to M. Hashimoto.)
Chapter 11:
- p. 353: In Figure 11.3, in the last line, "delta_lambda" should be just "lambda". (Thanks to C. Wiegert.)
- p. 357: In eq. (11.23), the last two diagrams are identical. One of them should be changed to a diagram with a loop in the t-channel. This loop should have one double line and one single line. The value of the divergent part of the new diagram is equal to that of the original diagram, so the formulae on the next page are unchanged.
- p. 359: In the second line from the bottom, "diagam" should be "diagram". (Thanks to S. F. Tuan.)
- p. 360: In eq. (11.31), just to the right of the first equals sign, "(-6lambda v)" should be "(-6 i lambda v)". (Thanks to K. Li.)
- p. 361: In eq. (11.34), the order of the diagrams does not correspond to the discussion in the last paragraph on this page. In order to rectify matters, the third and fourth diagrams in eq. (11.34) should be the first two, followed by the two diagrams with 4-point interactions. (Thanks to C. Wiegert.)
- p. 361: In eq. (11.35), "+ip^2 delta_Z" should be "-ip^2 delta_Z". This has no further ramification in the text. (Thanks to K. Li.)
- p. 362: In eq. (11.37), the counterterm diagram should have single lines, not double lines. (Thanks to M. Hashimoto.)
- p. 362: In the last equation on the page, the upper limit of the integral dx should be "1", not "2". The same correction must be made in the second line of eq. (11.38).
- p. 365: In the top line of eq. (11.41), "-1/beta" should be "1/beta". (Thanks to J. Bergli.)
- p. 366: Just below eq. (11.48), "Eq. (11.44)" should be "Eq. (11.45)". (Thanks to D. Clougherty.)
- p. 373: In eq. (11.66), at the end of the first line, "eta" should be replaced by "phi_cl^i eta^i". This term is immediately dropped anyway. (Thanks to T. Hauer.)
- p. 374: In eq. (11.70), on the left-hand side "delta L" should read "delta^2 L". (Thanks to R. MacKenzie.)
- p. 377: Just above eq. (11.77), in italics, "substraction" should read "subtraction". (Thanks to D. Clougherty.)
- p. 378: In the first line of eq. (11.81), "lambda^2" should be replaced by "lambda^2 (N+8)". Also, in both lines, "-3/2" should be replaced by "-a", where a = 3/2- 9 log 3/(N+8). Then in the first unnumbered equation on p. 379, "e^{3/2}" should become "e^a". (Thanks to N. Graham and J. L. Jacobsen.)
- p. 381: In the second line below eq. (11.88), "conected" should be "connected". (Thanks to S. F. Tuan.)
- p. 382: In the unnumbered equation five lines below the first figure, "delta^3 Gamma/ ... = i < >" should read "i delta^3 Gamma/ ... = < >". In other words, the equation needs a net factor (-1) between the two sides. (Thanks to R. MacKenzie.)
- p. 383: In eq. (11.97), on the right-hand side, "\delta\Gamma" should be "\delta^2\Gamma". (Thanks to S. F. Tuan.)
- p. 385: In eq. (11.99), "(1/2) log det" should read "i/2 log det". For some reason, though, in the unnumbered equation above (11.101), this factor of i appears correctly. In eq. (11.102), "-iD" in the second line should be "+iD". In eq. (11.103), "-2 lambda^2 in the third line should be "+2 lambda^2". (Thanks to J. L. Jacobsen.)
- p. 388: In eq. (11.105), on the left-hand side, "\delta\Gamma" should be "\delta^2\Gamma". (Thanks to S. F. Tuan.)
- p. 388: In the last sentence of the chapter, "symmtry" should be "symmetry". (Thanks to A. Gusso.)
- p. 391: The last word of problem 11.3, part (d) should be "subtraction". (Thanks to J. Goldstone.)
Chapter 12:
- p. 400: In the second line of eq. (12.23), the "(" after "1/4" should be removed. (Thanks to T. Nagano.)
- p. 402: Five lines from the bottom, "signficance" should be "significance".
- p. 408: In the third line of eq. (12.30), the four-point function should be a simple blob rather than an 1PI amplitude. (Thanks to I. Popescu.)
- p. 413: In the unnumbered equation just below (12.45), the right-hand side should be multiplied by "prod_i (i/p_i^2)". (Thanks to M. Hashimoto.)
- p. 416: For consistency with eq. (10.46), eq. (12.58) should read "(-e delta_1 + ...)" instead of "(-delta_1 + ...)". Then in eq. (12.59), "e^{-1} delta_1" should be replaced by "delta_1". (Thanks to I. Popescu.)
- p. 419: In eq. (12.70), "xbar(0,x)" should read "xbar(0;x)". (Thanks to D. Bowser-Chao.)
- p. 432: In eq. (12.114), the factor "delta^{kl}" should be removed. In eq. (12.115), the factor "delta^{ij}" should be removed. (Thanks to D. Bowser-Chao.)
- p. 433: In eqs. (12.120) and (12.122), the "integral d^4x" should not appear. (Thanks to G. Metikas.)
- p. 438: In Problem 12.3, part (a), add the qualification "to leading order in the coupling constants".
Chapter 13:
- p. 440: Four lines above eq. (13.1), "the the external field" should read "and the external field". (Thanks to J. L. Jacobsen.)
- p. 445: In eq. (13.28), the first argument of g-hat should be "M mu^{-(d-2)/2}", not "M mu^{(d-2)/2}". The same error should be corrected in each line of eq. (13.33). In eq. (13.30), the first factor on the right-hand side should be "M^{2d/(d-2)}", not "M^d". (Thanks to Y. Ohtake.)
- p. 445: In the first line of eq. (13.33) "M^{2/d-2}" should be replaced by "M^{2d/(d-2)}". The exponent "4d gamma(lambda*)/(d-2+2gamma(lambda*)" should be replaced by "- 4 d gamma(lambda*)/(d-2)(d-2+2 gamma(lambda*)". (Thanks to R. Das.)
- p. 446: In eq. (13.40), the term on the right should be divided by 2: "d/(2-gamma_phi^2(lambda_*))". (Thanks to S. Cullen.)
- p. 449: In eq. (13.52), the factor "epsilon" should appear in the numerator. (Thanks to D. Clougherty.)
- p. 451: In eqs. (13.55) and (13.64), "-3/2" should be replaced by "-a", where a = 3/2- 9 log 3/(N+8). This correction originates from the erratum posted above to Chapter 11, p. 378. (Thanks to N. Graham.)
- p. 452: In eq. (13.63), the factor "(lambda^2/8pi^2)" in the denominator should read: "(lambda^2/8pi^2)(N+8)". (Thanks to N. Graham.)
- p. 455: In eq. (13.73), "|del_\mu pi|" should be squared. (Thanks to K. Li.)
- p. 457: In eq. (13.83), there should be no "g^2"; the factor "g^2" from (13.82) is cancelled by a factor "1/g^2" from the vertex. In the first line of (13.84), there factor "g^2" inside the parentheses should be removed; then the second line of this equation is correct. In the second line of eq. (13.85), "\gamma(g)" should be "g^2 \gamma(g)". Then the final result, eq. (13.86), is correct. (Thanks to K. Li.)
- p. 457: In the second line of eq. (13.82), the right-hand side should be multiplied by "delta^{kl}". (Thanks to D. Clougherty.)
- p. 459: In eq. (13.92), in the second line, there should be a vector sign over "e_a" (in both appearances) and over "e_b". On the other hand, the vector sign over "del_mu" should be removed. (Thanks to J. Bergli.)
- p. 460: In the last line on the page, "(mass)^(d-2)/2" should read "(mass)^(2-d)/2". (Thanks to S.-S. Kim.)
- p. 461: In eq. (13.104), "(d-2)" should read "(d-2) T". (Thanks to D. Clougherty.)
- p. 466: In the displayed equation in Problem 13.1, "t^omega nu" should read "t^{omega nu}". (Thanks to R. Das.)
- p. 466: In Problem 13.2, on the right-hand side "(4pi)^2" should be "(4pi)^4". See the note to p. 345 above. The expression for gamma given in eq. (13.47) is correct. (Thanks to M. Hashimoto.)
Chapter 15:
- p. 482: In the third line from the bottom of the page "U(y,z) = " should read "U(y,x) = ". (Thanks to C. Schiff.)
- p. 485: In eq. (15.17), in the third term on the right-hand side, "-ic" should read "-c". (Thanks to T. Nagano.)
- p. 488: On the first line below eq. (15.27), "exp(-i alpha^i sigma^1/2)" should read "exp(-i alpha^i sigma^i/2)". (Thanks to K. Li.)
- p. 495: In the fifth line of the footnote, "gives for an" should read "gives an". (Thanks to S. F. Tuan.)
- p. 503: In Problem 15.3, in the exponential in the first equation, "-ie^2" should be replaced by "-e^2" and "2pi^2" should be replaced by "8pi^2". (Thanks to N. Graham.)
Chapter 16:
- p. 507: The last term in eq. (16.6) should have a coefficient (1/4) in front. This factor is compensated by the factor 4 noted in the first line of p. 508, so that the result for the 4-gluon vertex given in Fig. 16.1 is correct. (Thanks to T. Hauer.)
- p. 513: There is some inconsistency in this section and and next on the definition of the gauge parameter xi. Our preferred convention is given on p. 297: The gauge-fixing term should be proportional to (1/xi), and the gauge field propagator should contain (1-xi). We follow this convention where it matters, in Section 21.1. However, in Sections 16.2 and 16.3, we are inconsistent. The propagator (16.29) follows the convention correctly. However, in eqs. (16.34), (16.44), and (16.53), "xi" should be replaced by "(-1/xi)" (or vice versa). (Thanks to T. Nagano.)
- p. 515: The ghost-ghost-gluon vertex in Figure 16.5 is missing a factor (-1): It should read "-g f^{abc} p^mu". This error does not affect any calculation done in the text of the book, since, in the calculations we do, ghost vertices always appear in pairs. However, if you work Problem 16.3, you will notice that this sign change is necessary to get the correct answer for several of the counterters, in particular, those of the ghost-ghost-gluon and gluon-gluon-gluon vertices. (Thanks to T. Nagano.)
- p. 515: Two lines above eq. (16.36), "digram" should read "diagram". (Thanks to S. F. Tuan.)
- p. 518: In eq. (16.47), each "A" should be "A_\mu".
- p. 525: On the right-hand side of eq. (16.68), "(2-d)" should be replaced by "(d-2)". (Thanks to I. Popescu.)
- p. 530: Eq. (16.82) is actually correct if one understands that q = (k'-k). However, to make this obvious, replace "(q+k'-p)" by "(2k'-k-p)" and "(k-p-q)" by "(2k-k'-p)". (Thanks to S. Bashinsky.)
- p. 531: In eq. (16.86), "psi_b" in the first line should be "psi_0". In the second line, "psibar_0 gamma^mu psi_0" should be "psibar_0 gamma^mu t^a psi_0". In the third line, the first term should have a factor (1/4) in front. Just below the equation, "xi=0" should be "xi-> infinity". At the very bottom of the page, and continuing onto the next page, "for the gauge bosons, fermions, and ghosts" should read "for the fermions, gauge bosons, and ghosts". At the begining of the last paragraph on p. 532, "g_b/g" should be "g_0/g". Finally, three lines below eq. (16.89), "Problem 16.1" should be "Problem 16.3". (Thanks to K. Li.)
- p. 531: In the footnote, the correct reference for the paper of Gross and Wilczek is "Phys. Rev. Lett. 30, 1343 (1973)".
- p. 535: In the first line of eq. (16.98), at the end of the first parentheses, "A^b_mu A^c_mu" should be "A^b_mu A^c_nu". (Thanks to M. Hashimoto.)
- p. 535: Several 4-vector indices on A fields are omitted in eqs. (16.101) through (16.104). In these equations, A^a should have a subscript mu, and A^b, A^c should have subscripts nu.
- p. 538: In the first line of eq. (16.119), "==" should be replaced by "=".
- p. 538: In eq. (16.119), in the second line, there should be no "g^2".
- p. 544: The statement of Problem 16.3 contains an incorrect hint: The ghost field strength renormalization is not finite in Feynman-`t Hooft gauge. However, because of the special form of the ghost-ghost-gluon vertex, the divergent parts of the field strength renormalization and the vertex correction are relatively simple to compute. Please note that the sign of the ghost-ghost-gluon vertex must be changed from Fig. 16.5, as noted in the correction to p. 515. (Thanks to B. Zwiebach.)
Chapter 17:
- p. 569: In the line below eq. (17.63), "fundmental" should read "fundamental". (Thanks to S. F. Tuan.)
- p. 570: In eq. (17.69), the left-hand side of the equation should read "(1/3)^2 (t^a)_{i'i} (t^a)_{jj'} (t^b)_{j'i'} (t^b)_{ij}".
- p. 579: At the bottom of the page, just below the heading "The Electron Distribution", "Fig. 17.5" should be "Fig. 17.15". (Thanks of T. Nagano.)
- p. 580: In the second line below eq. (17.99), "It is tempting substitute" should read "It is tempting to substitute".(Thanks to S. F. Tuan.)
- p. 584 : In the seventh line from the bottom, "enchancement" should read "enhancement". (Thanks to S. F. Tuan.)
- p. 593 : In the second line of the second paragraph of Section 17.6, "renomalization" should read "renormalization". (Thanks to S. F. Tuan.)
Chapter 18:
- p. 601: In eq. (18.9), the right-hand side should be multiplied by (-1). (Thanks to Z. Chen.)
- p. 608: In the second part of eq. (18.40), the right-hand side should read "4/3 delta_{il}", not simply "4/3". This equation is given correctly in the Appendix, as the second half of eq. (A.34).
- p. 610: In equation (18.54), the factors "M^2" in the denominators should read "(M^2)^{2-d/2}". This accords with eqs. (18.9) and (18.12), and is the correct result of careful dimensional regularization. From this corrected formula, eq. (18.56) follows straightforwardly.
- p. 622: The paper of Swartz referred to in the figure caption of Fig. 18.8 has been published: Phys. Rev. D53, 5268 (1996).
- p. 642: On the left-hand side of eq. (18.186), "a^2_gf n_f" should read "a^2_gf", while "a^2_fg" should read "a^2_fg n_f". (Thanks to Z. Chen.)
- p. 645: In the first line of eq. (18.203), the second summation should run from 1 to (n+1), and the factor "3/2" should be replaced by "-3/2". (Thanks to Z. Chen.)
- p. 648: In the first formula on the page, in the second line, "Im" should appear to the left of the expression in parentheses and should apply to the whole expression "(k_mu k'_nu + ...)W^{mu nu (nu)}(P,a)". Also, in this line, "epsilon^{mu nu alpha beta}" should have the first two indices lowered. In the first line of part (b) of the problem, "Im W" should be simply "W". The problem is correct from here on. (Thanks to T. Hauer.)
Chapter 19:
- p. 653: In eq. (19.15), the middle term in the chain of equalities should read "{i/e}(i Pi^{mu nu}(q) A_nu(q))". (Thanks to X. Tata.)
- p. 656: In eq. (19.29), inside the brackets, "epsilon^mu epsilon^nu" should be "epsilon_mu epsilon^nu". (Thanks to M. Hashimoto.)
- p. 657: In eq. (19.33) and (19.34), the integration should be "dx", not "d^2x". (Thanks to J. Goldstone.)
- p. 660: In eq. (19.40), in the second line "2pi^2" should be replaced by "4pi^2", and in the third line "pi^2" should be replaced by "2pi^2". Fortunately, this term cancels out immediately.
- p. 666: In eq. (19.78), the denominator in the exponent should be "32pi^2" as in the previous line, not "16pi^2". However, after we use eq. (19.69) to transform the measure, eq. (19.79) is correct as written. (Thanks to O. DeWolfe.)
- p. 668: In the second line of eq. (19.84), on the left-hand side, "Qbar_L gamma^mu Q_L tau^a" should be "Qbar_L gamma^mu tau^a Q_L". (Thanks to T. Hauer.)
- p. 670: In eq. (19.91), "tau^b" should be "tau^a". In eq. (19.92), "i Qbar {m,tau^a}" should be "i Qbar {m,tau^a} gamma^5 Q". (Thanks to J. Goldstone.)
- p. 672: The Goldberger-Trieman relation, eq. (19.102), is stated incorrectly. It should read: g_A = (f_pi/m_N) g_{pi NN}". This corrected equation does indeed follow from eqs. (19.98) and (19.101). (Thanks to E. Sather.)
- p. 676: In eq. (19.122), the Lagrangian should include a factor "gamma^mu".
- p. 679: The two references to "Fig. 19.8" in the last paragraph on this page should actually refer to "Fig. 19.9".
- p. 680: In eq. (19.138), the factor "delta^{ab}" on the right-hand side should be "(1/n) delta^{ab}". (Thanks to S. Bashinsky.)
- p. 681: In the second line, "Section 15.3" should be "Section 15.4". (Thanks to T. Nagano.)
- p. 685: In eq. (19.161), the integrand should be multiplied by "A_nu(k)". (Thanks to T. Hauer.)
- p. 687: In problem 19.2(a), the prefactor "1/4" should be "1/2", consistent with the definitions on p. 668. (Thanks to T. Hauer.)
- p. 687: In problem 19.2(b), the formula should read: "(1-m_e^2/m_pi^2)^2/(1-m_mu^2/m_pi^2)^2", rather than having these factors to the first power. (Thanks to N. Graham.)
- p. 688: In the first line "anitsymmetric" should be "antisymmetric". (Thanks to J. Goldstone.)
Chapter 20:
- p. 693: The line just below eq. (20.18) should read: "This matrix is postive semidefinite, since its expectation value in a general state a is (the following equation)". (Thanks to M. Einhorn.)
- p. 697: The explicit form of the SU(3) generators given in (20.38) and (20.39) differs from that given in Problem 15.1 on p. 502. That representation is correct, this one is not. In eq. (20.39), we recover the earlier expression by changing the sign of t^5. This is just a convention, though the usual convention for t^5 puts the -i in the upper right-hand corner. More seriously, in eq. (20.38), t^8 is incorrectly normalized. The correct normalization factor is (1/2 sqrt(3)), as given on p. 502. Neither change affects the result of the analysis, eq. (20.42).
- p. 708: The labels of external particles in Fig. 20.3 need revision. On the left-hand side, reading from left to right, these should be "l^+" and "nu" on top and "u", "dbar" on the bottom. On the right-hand side, these should be "nubar","nu" on top and "u" "ubar" on the bottom. (Thanks to J. Goldstone.)
- p. 709: In eq. (20.92), "g^2/mZ^2" should be replaced by "g^2/2mZ^2". In the second line of this equation, "8G_F/sqrt(2)" should be replaced by "4G_F/sqrt(2)". The same replacement should be made in eq. (20.94).
- p. 710: Five lines below eq. (20.95), "position" should be "positron".
- p. 714: In eq. (20.105), the primes should be on the right-hand side, for example, "u = U u'". (Thanks to T. Nagano.)
- p. 717: At the beginning of the third paragraph, "First, Is it ..." should be "First, is it ..." (Thanks to T. Nagano.)
- p. 722: In eq. (20.133), in the second term, the factor "epsilon_{ab}" should be inserted just after "lambda^{ij}_u". (Thanks to T. Nagano.)
- p. 723: In the line just below eq. (20.140), "elminates" should read "eliminates". (Thanks to S. F. Tuan.)
Chapter 21:
- p. 734: On the left-hand side of eq. (21.17), the indices "mu","nu" should be raised. (Thanks to T. Nagano.)
- p. 736: In the second line of eq. (21.21), the propagator "i/(q^2-m_A^2)" should read "-i/(q^2-m_A^2)". (Thanks to T. Nagano.)
- p. 737: On the extreme right of eqs. (21.27) and (21.28), the Goldstone boson propagators should be "i/k^2" and "i/(k^2-mA^2)", respectively. These formulae are given correctly elsewhere, e.g., in Fig. 21.1. (Thanks to J. Goldstone, and apologies for offending his bosons.)
- p. 742: In the second and third lines of eq. (21.53), the propagators should have "+i" rather than "-i" in the numerator. (Thanks to T. Nagano.)
- p. 744: At the end of the tenth line below the figure, "Fig. 12.3" should read "Fig. 21.3". (Thanks to S. F. Tuan.)
- p. 744: Just below the heading "Formal Aspects ...", the phrase "The proof the Goldstone boson ..." should read "The proof of the Goldstone boson ...". (Thanks to A. Gusso.)
- p. 747: At the end of the second line above eq. (21.70), "if heavy" should read "is heavy". (Thanks to S. F. Tuan.)
- p. 748: Just above eq. (21.72), the phrase should read "and then averaging over initial and summing over final spins,". (Thanks to A. Gusso.)
- p. 756: In eq. (21.103), the polarization vectors "epsilon*_mu epsilon*_nu" should be removed, since they are now superfluous. (Thanks to S. F. Tuan.)
- p. 756: The material below eq. (21.106) should be replaced with the following: "This term cancels the dangerous high-energy behavior of (21.101). To see that the sum of diagrams has the correct high-energy limit, however, the approximations that we have used are not quite adequate. In particular, the correction to relation (21.60) for the polarization vectors is of order mW^2/s and must be taken into account. When all of the corrections of order mW^2/s are included, it turns out that the sum of the $s$-channel diagrams (21.101) is unchanged, while the expression for the neutrino exchange diagram (21.106) is multiplied by the factor of (1+2mW^2/s). Then the sum of all three diagrams gives: (first line of (21.107)) times [1/2cos^2theta - 1/4 cos^2 theta sin^2 theta + 1/2sin^2 theta ]." The discussion can then resume after (21.107). (Thanks to Q. Chen.)
- p. 757: Just below eq. (21.108), "(21.101)" should be replaced by "(21.107)". (Thanks to Q. Chen.)
- p. 771: In the first line of eq. (21.156), on the right-hand side, the factor "4" in the numerator should be "12". (Thanks to N. Graham.)
Chapter 22:
- p. 783: On the second line of the first full paragraph, "Chapters 13" should be "Chapter 13". (Thanks to W. G. J. Langeveld.)
Appendix:
- p. 801: In the Lagrangian of phi^4 theory, "lambda^4" should just be "lambda". (Thanks to C. Wiegert.)
- p. 802: In the Lagrangian given just below the heading "Non-Abelian Gauge Theory:", in the second term, "A_\mu^b" should be "A_\mu^a", and in the third term, "\gamma^\mu" should be "gamma^\mu t^a". (Thanks to M. Hashimoto.)
- p. 802: In the unnumbered equation just below the heading "Non-Abelian Gauge Theory:", the last term in eq. (16.6) should have a coefficient (1/4) in front. The result for the 4-gluon vertex given in eq. (A.12) is correct. (Thanks to T. Hauer.)
- p. 803: The ghost-ghost-gluon vertex in Figure 16.5 is missing a factor (-1): It should read "-g f^{abc} p^mu". (Thanks to T. Nagano.)
- p. 807: In eq. (A.47), the Gamma function in the numerator should be "Gamma(n-d/2-2)". (Thanks to T. Nagano.)
- p. 807: Eq. (A.51) should read: "(-1)^n/n! * ( 1/(x+n) - gamma + 1 + ... + 1/n + O(x+n))". (Thanks to M. Hashimoto.)
- p. 808: In eq. (A.52), the right-hand side should be multiplied by an overall factor of "1/(4pi)^2". (Thanks to S. Oser.)
- p. 809: The value of the tau lepton mass should be listed as 1777 MeV, not 1784 MeV.
Bibliography:
- p. 812: The bibliography entry for Bailin and Love should have cited the revised edition: Institute of Physics Publishing, Bristol, 1993.
- p. 813: The bibliography entry for Mandl and Shaw should have cited the revised edition: Wiley, 1993.
- p. 813: In the reference to Sakurai's book, "diagams" should read "diagrams". (Thanks to A. Deandrea.)
- p. 814: The bibliography entries for Ross and Quigg are in the wrong order.
- p. 815: The entry "J. Zinn-Justin" should read: "Zinn-Justin, Jean".
- p. 815: The reference to Zinn-Justin's book should refer to the third edition, 1996. (Thanks to T. Nagano.)

The Book

M. E. Peskin

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