List of quantum field theories
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This is a list of quantum field theories. The first few sections are organized according to their matter content, that is, the types of fields appearing in the theory. This is just one of many ways to organize quantum field theories, but reflects the way the subject is taught pedagogically.
[[Scalar field theory]]
Theories whose matter content consists of only scalar fields
- Klein-Gordon: free scalar field theory
- φ4 theory
- Sine-Gordon
- Toda field theory
Spinor field theory
Theories whose matter content consists only of spinor fields
- Dirac theory: free spinor field theory
- Thirring model
- Nambu–Jona-Lasinio model
- Gross–Neveu model
[[Gauge theory|Gauge field theory]]
{{See also | introduction to gauge theory}}
Theories whose matter content consists only of gauge fields
Interacting theories
- Spinor and scalar
- Yukawa model
- Scalar and gauge
- Scalar electrodynamics
- Scalar chromodynamics
- Yang–Mills–Higgs
- Spinor and gauge
- Quantum electrodynamics (QED)
- Schwinger model (1+1D case of QED)
- Quantum chromodynamics (QCD)
- Scalar, spinor and gauge
- Standard Model
Sigma models
Supersymmetric quantum field theories
= Superconformal quantum field theories =
= Supergravity quantum field theories =
String theories
Theories studied in the branch of quantum field theory known as string theory. These theories are without supersymmetry.
Other quantum field theories
- Kondo model (s-d model)
- Minimal model (Virasoro minimal model)
Branches of quantum field theory
- String theory
- Conformal field theory
- Supersymmetry
- Topological quantum field theory
- Noncommutative quantum field theory
- Local quantum field theory (also known as Algebraic quantum field theory or AQFT)
{{Quantum field theories}}
{{Supersymmetry topics}}
{{String theory topics}}