Physics 332 -- Quantum Field Theory
Physics 332 is the third course of a 3-quarter sequence on Quantum Field
Theory, the theory that provides at the same time the relativistic
generalization of quantum theory and the basic formalism for theories of
elementary particles. Michael Peskin gave this sequence of courses
at Stanford
during the 04-05 and 05-06 academic years.
This web site provides an archive for the materials that he prepared.
The three quarters of Physics 330-331-332 cover:
- Physics 330:
Free scalar and spinor fields,
Feynman diagrams, basic processes of Quantum Electrodynamics, radiative
corrections
- Physics 331:
Functional integral formulation of quantum field theory,
Yang-Mills theory, Quantum Chromodynamics, spontaneously broken
symmetry, Higgs mechanism, Glashow-Salam-Weinberg model of weak
interactions
- Physics 332: Theory of renormalization, renormalization of models with
spontaneously broken symmetry, renormalization group,
asymptotic freedom, operator product expansions,
perturbation theory anomalies.
The textbook for the course was An Introduction to Quantum Field Theory,
by Peskin and Schroeder. Other useful references are listed in the
general course information.
General
Course Information for Physics 332
Problem sets for Physics 332:
Final exams (and the solutions) from 2005 and 2006:
In contrast to my usual practice, I did not hand out lecture
notes for Physics 332. This is because the textbook is remarkably
well-written (!), so I followed it closely. For topics that go
beyond the textbook, I post lecture notes below.
The outline below indicates
the approximate content of the lectures in 2006:
- Apr. 5 : Renormalization and renormalizability
- Apr. 10 :
Renormalization: a 2-loop example
- Apr. 12 : More about two-loop diagrams
- Apr. 17 : Renormalization with spontaneously broken symmetry
- Apr. 19 : The effective potential
- Apr. 24 : Wilson's approach to renormalization
- Apr. 26 : The Callan-Symanzik equation
- May 1 : Coupling constant flows and fixed points
- Apr. 3 : Theory of critical exponents
- May 8 : The nonlinear sigma model in 2 and 2+epsilon dimensions
- May 10 :
Lattice models of scalar fields and gauge fields
- May 15 : Renormalization of Yang-Mills theory and BRST symmetry
- May 17 : Asymptotic freedom of Yang-Mills theory
- May 22 : Operator product analysis in QCD - I
- May 24 : Operator product analysis in QCD - II
- May 31 : The axial vector anomaly
- June 5 : Applications of the axial vector anomaly
- June 8:
Instantons and nonperturbative QCD
M. E. Peskin
SLAC