All assignments, solutions, and notes linked to this page are in TeX-generated PDF format.

**Fall 2012:**homeworks, exams, class notes.**Spring 2013:**homeworks, exams, class notes.- Latest homework.
- Recommender reading.

- Set 1, due September 11; solutions to problems 1 and 2, problem 3 postponed to next homework.
- Set 2, due September 18; solutions.
- Set 3, due September 25. solutions.
- Set 4, due October 2; solutions.
- Set 5, due October 9; solutions.
- Set 6, due October 16; solutions.
- Set 7, due October 25 (Thursday); solutions.
- Set 8, due November 8; solutions.
- Set 9, due November 15 (Thursday); solutions.
- In lieu of Set 10, a reading assignment:

§4.5 of the*Peskin and Schroeder*textbook about relation between the transition matrix elements M and the scattering cross sections or decay rates of unstable particles.

Due November 20. - Set 11:
**Problems 4.2 and 4.3**of the*Peskin & Schroeder*textbook, due November 29 (Thursday); solutions. - Set 12, due December 6 (Thursday, last class);

- Mid-term exam, was posted on October 25, due November 1 (Thursday).
- End-term exam, will be posted on December 6 (last class) and due December 13.

- Aharonov-Bohm effect and magnetic monopoles.
- Notes on canonical quantization
- Fock space formalism.
- Bogolyubov transform.
- Wigner and Nambu–Goldstone modes of symmetries.
- Glashow–Weinberg–Salam theory of weak and EM interactions.
- The saddle point method.
- Expansion of relativistic fields into creation and annihilation operators.
- Dirac matrices, Dirac spinors, and Dirac equation.
- Fermionic algebra and Fock space; particles and holes.
- Spin-statistics theorem.
- Fermionic aspects of the Glashow–Weinberg–Salam theory.
- Perturbation theory, Dyson series, and Feynman diagrams.
- Dimensional analysis and allowed couplings.
- Mandelstam's variables
*s*,*t*, and*u*. - EM quantization and QED Feynman rules.
- Dirac trace techniques and muon pair production.
- Crossing Symmetry.
- Ward Identities and sums over photon polarizations.
- Annihilation and Compton Scattering.

- Set 13, due January 24; solutions.
- In lieu of set 14, read about the
*Optical Theorem*in §3.6 of Weinberg and in §7.3 of Peskin and Schroeder; due January 31. - Set 15, due February 7; solutions.
- Set 16, due February 14.
A reading assignment and an easy exercise, both from the Peskin & Schroeder textbook:
- Study the two-loop example of nested divergences in §10.5. Please read carefully, it's a hard calculation.
- Solve
**problem 10.2**, part (a); solutions.

- Set 17, due February 21; solutions.
- Set 18, due February 28; solutions.
- Set 19, due March 7; solutions.
- Set 20, due March 21; solutions.
- Set 21, due April 4; solutions.
- Set 22, due April 11; solutions.
- Set 23, due April 18; solutions.
- Set 24, due April 25; solutions.
- Set 25, due May 2; solutions.

- Mid-term exam, due March 28.
- End-term exam, due May 9.
**Update 5/6 at 18:45:**corrected sign in equation (11).

- Correlation functions of quantum fields.
- QED Feynman rules in the counterterm perturbation theory.
- Renormalization of the EM field at one loop.
- Ward–Takahashi identities.
- QED vertex correction: the algebra, the anomalous magnetic moment, the electric form factor, and the infrared divergence.
- Vacuum energy and effective potential.
- Renormalization scheme dependence and the Minimal Subtraction.
- Path integrals in quantum mechanics.
- Path integral for the harmonic oscillator (in detail).
- Functional integration in quantum field theory.
- Quantization of non-abelian gauge theories and the Faddeev–Popov ghosts.
- QCD Feynman rules and QCD Ward Identities.
- BRST symmetry.
- QCD beta function.

*Lie Agebras in Particle Physics: from Isospin to Unified Theories*by Howard Georgi, 1999, Westview press, ISBN 9780813346113. (UT library ebook).*Group Theory for Unified Model Building*by Richard Slansky, Physics Reports 79 (1981) pp. 1-128. (local copy)*Monopoles, Instantons, and Confinement*by Gerard 't Hooft, 1999 lectures at Saalburg, arXiv:hep-th/0010225.

Last Modified: May 2, 2013. Vadim Kaplunovsky

vadim@physics.utexas.edu