Quantum field theory for the gifted amateur

Lagrangians

Simple harmonic oscillators

Occupation number representation

Making second quantization work

Continuous systems

A first stab at relativistic quantum mechanics

Examples of Lagrangians, or how to write down a theory

The passage of time

Quantum mechanical transformations

Symmetry

Canonical quantization of fields

Examples of canonical quantization

Fields with many components and massive electromagnetism

Gauge fields and gauge theory

Discrete transformations

Propagators and Green's functions

Propagators and fields

The S-matrix

Expanding the S-matrix : Feynman diagrams

Scattering theory

Statistical physics : a crash course

The generating functional for fields

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

Field integrals

Statistical field theory

Broken symmetry

Coherent states

Grassmann numbers : coherent states and the path integral for fermions

Topological objects

Topological field theory

Renormalization, quasiparticles and the Fermi surface

Renormalization : the problem and its solution

Renormalization in action : propagators and Feynman diagrams

The renormalization group

Ferromagnetism : a renormalization group tutorial

The Dirac equation

How to transform a spinor

The quantum Dirac field

A rough guide to quantum electrodynamics

QED scattering : three famous cross-sections

The renormalization of QED and two great results

Superfluids

The many-body problem and the metal

Superconductors

The fractional quantum Hall fluid

Non-abelian gauge theory

The Weinberg-Salam model

Majorana fermions

Magnetic monopoles

Instantons, tunnelling and the end of the world.