Fall semester; Spring semester.

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

- Set 1, due September 11; solutions.
- 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 to problems 1, 2, and 3; problem 4 is extended until October 23.
- Set 7, due October 23; solutions.

If you need mathematical help with the*saddle point method*, read my notes. - Set 8, due October 30; solutions.
- Set 9, due November 13; solutions.
- Set 10, due November 20; solutions.
- Set 11:
**Problems 4.2 and 4.3**(parts a, b, c only) of the*Peskin & Schroeder*textbook, due November 25; solutions. - Set 12, due December 4; solutions.

**Note:***students who missed the*.**11/26**lecture should read my lecture notes

- Mid-term exam, due November 6.
- End-term exam, due December 11.

- Magnetic monopoles.
- Fock space formalism.
- The saddle point method.
- Spin-statistics theorem.
- Dyson series and correlation functions of quantum fields.
- Perturbation theory and Feynman diagrams.
- Momentum space Feynman rules.
- Dimensional analysis and allowed couplings.
- QED Feynman rules.
- Dirac trace techniques.
- Crossing Symmetry.
- Mandelstam's variables
*s*,*t*, and*u*. - Annihilation and Compton Scattering: diagrams and calculations.

- Set 13, due February 5; solutions.
- In lieu of set 14, a reading assignment:
*The LSZ reduction formula,*§7.2 of Peskin & Schoeder.*Optical theorem for Feynman diagrams,*§7.3 of Peskin & Schoeder.

- Set 15, due February 19; solutions.
- Set 16, due February 26, a reading assignment and an easy exercise:
- Study the two-loop example of nested divergences in §10.5 of the Peskin & Schroeder textbook. Please read carefully, it's a hard calculation.
- Solve texbook
**problem 10.2, part (a)**; solutions.

- Set 17, due March 5; solutions.
- Set 18, due March 12; solutions.
- Set 19, due March 26; solutions.
- Set 20, includes two problems and a reading assignment, due April 2; solutions.
- Set 21:
**Problems 9.2 and 11.1**of the*Peskin & Schroeder*textbook, due April 16; solutions.

Note: parts (a) and (b) of problem 9.2 are solved in detail in this note.

In problem 11.1, interpret the final result in terms of*spontaneous symmetry breaking being impossible in**d*≤2 spacetime dimensions. - Set 22, due April 23; solutions.
- In lieu of set 23, several reading assignments, due April 30:
- Study the QCD loop diagrams in §16.5 of
*Peskin & Schroeder*. Make sure you undersdand all aspects of the calculations. - Read §16.7 of
*Peskin & Schroeder*about `magnetic anti-screening' explanation of the asymptotic freedom. - Read §19.3 of
*Peskin & Schroeder*about chiral symmetry of QCD and pions. Chapter 19 of*Weinberg*has a deeper discussion of pions (and Goldstone bosons in general); you are advised to read it, but not necesserely this week. - Read the discussion of chiral anomalies in §22.2-3 of
*Weinberg.*

- Study the QCD loop diagrams in §16.5 of
- Set 24, due May 7; solutions .

- Mid-term exam, originally due April 9 but
**extended to April 10**. - Final exam, due May 14.

**Updated 5/10 at 13:10:**corrected a sign in eq. (8).

**Updated 5/12 at 19:15:**corrected factors of 2 in parts (d) and (e) of problem 2.

- QED Vertex correction and anomalous magnetic moment of the electron.
- Electric form factor and the infrared divergence.
- Renormalization scheme dependence and Minimal Subtraction.
- Path integrals in quantum mechanics.
- Path integral for the harmonic oscillator (in detail).
- Functional integration in quantum field theory.
- QCD Feynman rules.
- BRST symmetry.

*Group Theory for Unified Model Building*by Richard Slansky, Physics Reports 79 (1981) pp. 1-128 (local copy).

Last Modified: May 12, 2009. Vadim Kaplunovsky

vadim@physics.utexas.edu