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 field theory Theories whose matter content consists only of gauge fields Yang–Mills theory Proca theory Chern–Simons theory 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 Non-linear sigma model Wess–Zumino–Witten model Supersymmetric quantum field theories Wess–Zumino model Supersymmetric Yang–Mills Seiberg–Witten theory Super QCD (sQCD) Superconformal quantum field theories N = 4 supersymmetric Yang–Mills theory ABJM superconformal field theory 6D (2,0) superconformal field theory String theories Theories studied in the branch of quantum field theory known as string theory. These theories are without supersymmetry. Polyakov action Nambu-Goto action Bosonic string theory Other quantum field theories Chiral model 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 theory Supersymmetric quantum field theory String theory