Quantum Field Theory

Introduction
Classical field theory
	Classical fields
	Lorentz invariance
	Symmetries and Noether's theorem for field theories
	Hamiltonian mechanics
Free field theory
	Review of simple harmonic oscillator
	The quantum field
	Real scalar fields
	Complex scalar fields
	The Heisenberg picture
	Propagators
Interacting fields
	Interaction Lagrangians
	Interaction picture
	Wick's theorem
	Feynman diagrams
	Amplitudes
	Correlation functions and vacuum bubbles
Spinors
	The Lorentz group and the Lorentz algebra
	The Clifford algebra and the spin representation
	Properties of the spin representation
	The Dirac equation
	Chiral/Weyl spinors and gamma5
	Parity operator
	Solutions to Dirac's equation
	Symmetries and currents
Quantizing the Dirac field
	Fermion quantization
	Yukawa theory
	Feynman rules
Quantum electrodynamics
	Classical electrodynamics
	Quantization of the electromagnetic field
	Coupling to matter in classical field theory
	Quantization of interactions
	Computations and diagrams
Index