# Quantum Field Theory (I)

# Homeworks and Exams

## Class of Dr. Kaplunovsky, Fall 2020 and Spring 2021

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

### Fall 2020 Homeworks

- Set 1, due September 8;
solutions and mathematical supplement.
- Set 2, due September 15; solutions.
- Set 3, due September 22; solutions.
- Set 4, due September 29; solutions.
- Set 5, due October; 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 [updated 11/28].
- Set 11, due November 24; solutions.
- Set 12, due December 4; solutions.

#### For extra challenge

- Reading assignment for the extra lecture on Bose–Einstein condensate:

Read my notes on the subject, including the proofs of all the lemmas.

Assigned 9/25, no due date.
- 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 10/15, no due date.

### Fall 2020 Exams

### Spring 2021 Homeworks

- Set 13, due January 26; 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 February 2.
- Set 15, due February 9; solutions.
- Set 16, due February 16.
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 17; problem 1 is due on February 24 (Wednesday),
problem 2 and problem 3 on March 2 (Tuesday).

Solutions to problem 1; solutions to problem 2.
- Set 18, due March 9; solutions.
- Set 19, due March 23; solutions.
- Set 20, due April 9; solutions.
- Set 21, due April 16; solutions.
- Set 22, due April 23; solutions.
- Set 23, due April 30; solutions.
- Set 24, due May 7; solutions.

### Spring 2021 Exams

- Mid-term exam, to be posted March 25 and due April 2 (Friday night).
- End-term exam, to be posted May 7 and due May 14 (Fiday night).

Last Modified: May 7, 2021.
Vadim Kaplunovsky

vadim@physics.utexas.edu