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List of quantum field theories 
Summary
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 edit
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 edit
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 field theory edit
Theories whose matter content consists only of gauge fields
Interacting theories edit
- Spinor and scalar
- Scalar and gauge
- Spinor and gauge
- Quantum electrodynamics (QED)
- Schwinger model (1+1D case of QED)
- Quantum chromodynamics (QCD)
- Quantum electrodynamics (QED)
- Scalar, spinor and gauge
Sigma models edit
Supersymmetric quantum field theories edit
Superconformal quantum field theories edit
String theories edit
Theories studied in the branch of quantum field theory known as string theory. These theories are without supersymmetry.
Other quantum field theories edit
- Kondo model (s-d model)
- Minimal model (Virasoro minimal model)
Branches of quantum field theory edit
- 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)