Quantum field theory
From Physics wiki
Introduction
- Prerequisites
- Necessity of field theory
- Representations of the Lorentz group
- Representations of the Poincaré group
- Spin-statistics theorem
Non-interacting field theory
Interacting field theory
- Källén-Lehmann spectral representation
- Multi-particle states
- In and out states
- Gell-Mann and Low theorem
- Unitarily inequivalent representations
- Scattering
- Cross-section
- Decay rate
- S-matrix
- Wick's theorem
- LSZ formalism
- Analytic properties
Path integral methods
- Functional representation
- Path integral
- Schwinger-Dyson equation
- Generating correlation functions
- Cluster decomposition theorem
- Generating connected correlation functions
- Effective action
- 1-loop effective action
- 1-particle irreducible correlation functions
- Anomaly
- Effective action
- Evaluation of determinants
- Background field method
Renormalization
- Renormalization
- Regularization
- Superficial renormalizability
- BPHZ
- Non-renormalization theorem
- Renormalon
Gauge theory
- Electromagnetic field
- Yang-Mills theory
- Gribov ambiguity
- Mathematical structure
- Path integral quantization
- Gauge fixing
- Faddeev-Popov procedure
- Quantum chromodynamics
- Large N expansion
- BRST quantization
- Wilson loop
- Wilson-Polyakov loop
- Chern-Simons theory
- Slavnov-Taylor identity
- Yang-Mills-Higgs models
- Schwinger model
- θ angle
See also: Lattice gauge theory
Symmetry
- Ward-Takahashi identity
- Coleman-Mandula theorem
- Current algebra
- Chiral symmetry breaking
- Chiral anomaly
- Anomaly matching condition
- Spontaneous symmetry breaking
- Goldstone's theorem
- Higgs mechanism
- Goldstone boson equivalence theorem
Quantum Electrodynamics
Quantum Chromodynamics
Conformal Field Theory
- See also: Conformal field theory (subject)
Thermal Field Theory
Non-equilibrium Field Theory
Non-perturbative effects
Lattice gauge theory
Quantum field theory in curved spacetime
See: Quantum field theory in curved spacetime (Gravitational physics)
Supersymmetry and supergravity
- Supersymmetry
- Haag-Łopuszański-Sohnius theorem
- Wess-Zumino model
- Extended supersymmetry
- Super Yang-Mills theory
- Bogomol'nyi-Prasad-Sommerfield (BPS) bound
- Superspace
- Supergravity
- Witten index
Models
- Gross-Neveu model
- Thirring model
- Sine-Gordon model
- Nambu-Jona-Lasinio model
- Born-Infeld electrodynamics
- O(N) linear sigma model
- O(N) non-linear sigma model
- 't Hooft model
Other topics
- Schwinger proper time formalism
- Collective field methods
- Bosonization
- Heat kernel method
- Diagonalizing a quadratic Hamiltonian
- Computation techniques
- Topological QFT
- Weinberg-Witten theorem
- Magnetic monopoles
- Stochastic quantization
- Mellin summation
- Entanglement entropy
- Master field
- Bethe-Salpeter equation
- Stochastic quantization
Worldline formalism
Resources
Appendix
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