### Quantum Field Theory, an Introduction

- Preface
- 1 The lagrangian formulation of classical mechanics
- 1.1 The lagrangian principle
- 1.2 Hamiltons principle
- 1.3 Continuous systems
- 1.4 The energy-momentum tensor
- 1.5 The Hamilton formalism, Poisson brackets

- 2 Canonical quantization
- 2.1 Nonrelativistic quantum fields
- 2.2 Quantization rules for Bose particles
- 2.3 Quantization rules for Fermi particles

- 3 Spin-fields
- 3.1 The Dirac equation
- 3.2 Wave functions of free Dirac particles
- 3.3 Quantum fields of Dirac particles
- 3.4 The Feynman propagator for Dirac fields

- 4 The electromagnetic field
- 4.1 The Maxwell equations
- 4.2 The Lagrangian and the Hamiltonian of the Maxwell field
- 4.3 Coupled Maxwell and Dirac fields
- 4.4 Plane wave expansion of the vector field
- 4.5 Canonical quantization of the photon field
- 4.6 The Hamiltonian of the quantized Maxwell field
- 4.7 The Feynman propagator for photons

- 5 Interacting quantum fields
- 5.1 The interaction picture
- 5.2 The time evolution operator
- 5.3 The scattering matrix
- 5.4 Wick’s theorem
- 5.5 Interaction between quantized Dirac- and Maxwell fields
- 5.6 Electron-electron scattering
- 5.7 Compton scattering

- 6 Scattering cross sections
- 6.1 The scattering cross section of electrons
- 6.2 The cross section for the scattering of photons by free electrons

- 7 Epilogue
- References
- Index

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