Quantum field theory

From TheTangentBundle

[edit] Introduction

• Prerequisites
• Necessity of field theory

[edit] Non-interacting field theory

• Scalar field
• Dirac field
• Fermionic field
• Maxwell field
• Schwinger proper time formalism

[edit] Interacting field theory

• Unitarily inequivalent representations
• Källen-Lehmann spectral representation
• Multi-particle states
• Scattering
• LSZ formalism
• Path integral methods
• Anomaly
• Effective action
• Evaluation of determinants
• Functional Schrödinger methods

[edit] Renormalization

• Regularization
• Renormalization
• BPHZ

[edit] Gauge theory

• Maxwell field
• Yang-Mills theory
• Mathematical structure
• Path integral quantization
• Faddeev-Popov procedure
• Chern-Simons theory
• Quantum chromodynamics
• BRST quantization
• Slavnov-Taylor identity

[edit] Symmetry

• Spontaneous symmetry breaking
• Ward-Takahashi identity
• Coleman-Mandula theorem

[edit] Quantum Electrodynamics

[edit] Quantum Chromodynamics

[edit] Conformal Field Theory

• See subject: Conformal field theory
• Non-linear sigma model
• WZNW model (Conformal field theory)

[edit] Finite Temperature Field Theory

[edit] Supersymmetry

• Haag-Łopuszański-Sohnius theorem

[edit] Quantum Field Theory in Curved Spacetime

• Fermions in curved space
• Squeezed states
• Unruh radiation
• Black hole information paradox

[edit] Other topics

• Collective field methods
• Bosonization
• Gross-Neveu model
• Thirring model
• Sine-Gordon model
• Creation and annihilation operators
• Heat kernel method
• Large N expansion
• Gamma matrices or Dirac matrices
• Cluster decomposition theorem
• Diagonalizing a quadratic Hamiltonian
• Computation techniques
• Topological QFT