Amitabha Lahiri & P. B. Pal: A First Book of Quantum Field Theory

Here are my notes and solutions to accompany the book A First Book of Quantum Field Theory (Second Edition) by Amitabha Lahiri & P. B. Pal. As always, no guarantees that my solutions are actually correct.

Errata for the book can be found here.

Chapter 1: Preliminaries

1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8

Chapter 2: Classical Field Theory

2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 2.10, 2.11

Chapter 3: Quantization of Scalar Fields

3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 3.10

Chapter 4: Quantization of Dirac Fields

Dirac equation: nonuniqueness of solutions
Dirac equation: angular momentum
Energy projection operators in the Dirac equation
4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8, 4.9, 4.10, 4.11, 4.12, 4.13, 4.14, 4.15, 4.16, 4.17, 4.18, 4.19, 4.20, 4.21, 4.22, 4.23, 4.24, 4.25, 4.26, 4.27, 4.28, 4.29, 4.30

Chapter 5: The S-matrix expansion

Evolution operator
S-matrix
Wick's theorem - no equal time commutators
5.1, 5.2, 5.3, 5.4

Chapter 6: From Wick expansion to Feynman diagrams

6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7

Chapter 7: Cross sections and decay rates

Decay rates
Muon decay - Feynman amplitude
7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8, 7.9

Chapter 8: Quantization of the electromagnetic field

8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7

Chapter 9: Quantum electrodynamics

9.1, 9.2, 9.3, 9.4, 9.5, 9.6, 9.7, 9.8, 9.9