# Quantum Field Theory (I)

# Homeworks and Exams

## Class of Dr. Kaplunovsky, Fall 2022 and Spring 2023

**Navigation:**
Fall homeworks, Fall exams,
Spring homeworks, Spring exams.

### Fall 2022 Homeworks

- Set 1, due September 6;
solutions and mathematical supplement.
- Set 2, due September 13; solutions.
- Set 3, due September 20; solutions.
- Set 4, due September 27; solutions.
- Set 5, due October 4; solutions.
- Set 6, due October 11; solutions.
- Set 7, due October 18; solutions.
- Set 8, due November 1; solutions.
- Set 9, due November 8; solutions.
- Set 10, due November 18; solutions.
- Set 11, due December 1; solutions.

#### For extra challenge

- Problem about the Casimir effect for EM fields in a narrow cavity.
Assigned 9/1, no due date.
Solutions (posted 3/3/2023).
- Problem about angular momentum in presense of a magnetic charge.
Assigned 9/24, no due date.
Solutions (posted 3/3/2023).
- In my notes on the fermionic Fock space,
verify equations (28), (29), (31), and (34–35) for the relations between the
wave-function and Fock-space formalisms for various operators.
Assigned 10/11, no due date.
- Reading assignment from 10/13, no due date:
- Modern Quantum Mechanics by Sakurai, §3.10, about the time reversal symmetry in quantum mechanics.
- Peskin and Schroeder textbook, §3.6, about the discrete symmetries of Dirac spinors.
Focus on the subsections about the time reversal symmetry and about the combined
**CPT** symmetry.

- In class on 10/18 I have explained the spin-statistics theorem, but I did not have time to prove two important lemmas.
Read my notes on the subject, especially the second half (pages 7–12) where I
prove the lemmas.
Assigned 10/18, no due date.

### Fall 2022 Exams

### Spring 2023 Homeworks

- Set 13, due January 24; solutions.
- Set 14, due
~~January 31~~ February 2; solutions.
- Set 15, due February 9:
A reading assignment and an easy exercise, both from the Peskin & Schroeder textbook.
- Study the two-loop example of a nested divergence in §10.5.
Please read carefully, it's a hard calculation.
- Solve
**problem 10.2**, part (a); solutions.

- Set 16, due on February 16; solutions (updated 2/24).
- Set 17, due February 23; solutions.
- Set 18, due March ; solutions.
- Set 19, due March 23; solutions.
- Set 20, due March 30; solutions.
- Set 21, due April; solutions.
- Set 22, due April 13; solutions.
- Set 23, due April 20; solutions.

### Spring 2023 Exams

Last Modified: April 20, 2023
Vadim Kaplunovsky

vadim@physics.utexas.edu