# Tom Lancaster and Stephen J. Blundell: Quantum Field Theory for the Gifted Amateur

Here are my solutions to various problems in the textbook Quantum Field Theory for the Gifted Amateur, by Tom Lancaster and Stephen J. Blundell (Oxford University Press, 2014). Obviously I can't offer any guarantee that all the solutions are actually correct, but I've given them my best shot.

These solutions are the only ones that I've worked out so far, so please don't ask me to post "the rest of the chapters" as I haven't worked on those yet. I will get to them eventually.

Chapter 1 - Lagrangians

Exercises
1.1, 1.2, 1.3, 1.4, 1.5, 1.6

Chapter 2 - Simple harmonic oscillators

Exercises
2.1, 2.2, 2.3, 2.4

Chapter 3 - Occupation number representation

Exercises
3.1, 3.2, 3.3, 3.4

Chapter 4 - Making second quantization work

Exercises
4.1, 4.2, 4.3

Chapter 5 Continuous systems

Exercises
5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10

Chapter 6 A first stab at relativistic quantum mechanics

Exercises
6.1

Chapter 7 Examples of Lagrangians, or how to write down a theory

Exercises
7.1, 7.2, 7.3, 7.4

Chapter 8 The passage of time

Exercises
8.1, 8.2, 8.3, 8.4

Chapter 9 Quantum mechanical transformations

Exercises
9.1, 9.2, 9.3, 9.4

Chapter 10 Symmetry

Exercises
10.1, 10.2, 10.3, 10.4

Chapter 11 Canonical quantization of fields

Exercises
11.1, 11.2

Chapter 12 Examples of canonical quantization

Exercises
12.1, 12.2, 12.3, 12.4, 12.5, 12.6, 12.7

Chapter 13 Fields with many components and massive electromagnetism

Exercises
13.1, 13.2, 13.3, 13.4

Chapter 14 Gauge fields and gauge theory

Exercises
14.1, 14.2

Chapter 15 Discrete transformations

Exercises
15.1, 15.2, 15.3

Chapter 16 Propagators and Green's functions

Exercises
16.1, 16.2, 16.3, 16.4

Chapter 17 Propagators and fields

Exercises
17.1, 17.2, 17.3, 17.4, 17.5

Chapter 18 The S-matrix

Exercises
18.1, 18.3, 18.4, 18.5

Chapter 19 Expanding the S-matrix: Feynman diagrams

Exercises
19.1, 19.2, 19.3, 19.4

Chapter 20 Scattering theory

Exercises
20.1, 20.2

Chapter 21 Statistical physics: a crash course

Exercises
21.1, 21.2, 21.3

Chapter 22 The generating functional for fields

Exercises
22.1, 22.2

Chapter 23 Path integrals: I said to him, 'You're crazy'

Exercises
23.1, 23.2, 23.3

Chapter 24 Field integrals

Exercises
24.1, 24.2, 24.3, 24.4

Chapter 25 Statistical field theory

Exercises
25.2, 25.3, 25.4

Chapter 26 Broken symmetry

Exercises
26.1, 26.2, 26.3, 26.4

Chapter 27 Coherent states

Exercises
27.1, 27.2, 27.3, 27.4, 27.5, 27.6, 27.7