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

- Set 1, due September 8; solutions.
- Set 2, due September 15; solutions.
- Set 3, due September 22. solutions.
- Set 4, due September 29; solutions.
- Set 5, due October 6; solutions.
- Set 6, due October 13; solutions.
- Set 7, due October 20; solutions.
- Set 8, due October 27; solutions.
- Set 9, due November 10; solutions.
- Set 10, due November 17; solutions.
- Set 11, due November 24; solutions.
- Set 12, due December 3 (Thursday, last class); solutions.

- Mid-term exam, due on November 3.
- End-term exam, due December 10.

**Updated 12/5 at 3 AM:**fixed arrow directions in eqs. (F.4) and (F.7).

- Aharonov-Bohm effect and magnetic monopoles.
- Notes on canonical quantization
- Fock space formalism.
- Expansion of relativistic fields into creation and annihilation operators.
- The saddle point method.
- Propagators and Green's functions.
- Bogolyubov transform.
- Dirac spinor fields.
- Fermionic algebra and Fock space; particles and holes.
- Spin-statistics theorem.
- Relativistic causality and the Feynman propagator for the fermions.
- Perturbation theory, Dyson series, and Feynman diagrams.
- Phase space factors.
- Mandelstam's variables
*s*,*t*, and*u*. - Dimensional analysis and allowed couplings.
- 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.
- Wigner and Nambu–Goldstone modes of symmetries.
- QCD Feynman rules.
- Non-Abelian Higgs mechanism.
- Glashow–Weinberg–Salam theory of weak and EM interactions.
- Fermionic aspects of the Glashow–Weinberg–Salam theory.

*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)

Last Modified: December 5, 2015. Vadim Kaplunovsky

vadim@physics.utexas.edu