QFT for the Gifted Amateur by Lancaster & Blundell

I     The Universe as a set of harmonic oscillators

Chapter 1 – Lagrangians

Chapter 2 – Simple harmonic oscillators

Chapter 3 – Occupation number representation

Chapter 4 – Making second quantization work

II     Writing down Lagrangians

Chapter 5 – Continuous systems

Chapter 6 – A first stab at relativistic quantum mechanics

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

III     The need for quantum fields

Chapter 8 – The passage of time

Chapter 9 – Quantum mechanical transformations

Chapter 10 – Symmetry

Chapter 11 – Canonical quantization of fields

Chapter 12 – Examples of canonical quantization

Chapter 13 – Fields with many components and massive electromagnetism

Chapter 14 – Gauge fields and gauge theory

Chapter 15 – Discrete transformations

IV     Propagators and perturbations

Chapter 16 – Propagators and Green’s functions

Chapter 17 – Propagators and fields

Chapter 18 – The S-matrix

Chapter 19 – Expanding the S-matrix: Feynman diagrams

Chapter 20 – Scattering theory

V     Interlude: wisdom from statistical physics

Chapter 21 – Statistical physics: a crash course

Chapter 22 – The generating functional for fields

VI     Path integrals

Chapter 23 – Path integrals: I said to him, “You’re crazy”

Chapter 24 – Field integrals