φ⁴

for a real field φ

for a complex field φ.

See analytization trick. The analytization trick is a heuristic often applied by physicists. ...

See phi to the fourth. In quantum field theory, φ4 is a theory of scalars with a quartic interaction. ...

QED

See analytization trick. The analytization trick is a heuristic often applied by physicists. ...

See QED. This article may be too technical for most readers to understand. ...

Schwinger model

See Schwinger model. In physics, the Schwinger model, named after Julian Schwinger, is the model describing 2D (2 spatial 1 time) Euclidean quantum electrodynamics with a Dirac fermion. ...

The Yukawa model

See Yukawa model. In particle physics, Yukawa interaction, named after Hideki Yukawa, is an interaction between a scalar field and a Dirac field of the type In the Standard Model, this interaction is responsible for the fermion masses after the Higgs field acquires a VEV. Its also possible to have a Yukawa...

Wess-Zumino model

See Wess-Zumino model Jump to: navigation, search In theoretical physics, the Wess-Zumino model has become the first known example of an interacting four-dimensional quantum field theory with supersymmetry, at least in the Western world. ... Jump to: navigation, search In theoretical physics, the Wess-Zumino model has become the first known example of an interacting four-dimensional quantum field theory with supersymmetry, at least in the Western world. ...

Yang-Mills theory

See Yang-Mills, Quantum Yang-Mills theory. Gauge theories are a class of physical theories based on the idea that symmetry transformations can be performed locally as well as globally. ... See gauge theory for the classical prelimanaries. ...

The Yang-Mills-Higgs model

See Yang-Mills-Higgs model.

Nonlinear sigma models

for some positive definite tensor G acting bilinearly upon the tangent space of the target manifold and a potential V bounded from below. In mathematics, a definite bilinear form B is one for which B(v,v) has a fixed sign (positive or negative) when it is not 0. ... The tangent space of a manifold is a concept which needs to be introduced when generalizing vectors from affine spaces to general manifolds, since in the latter case one cannot simply subtract two points to obtain a vector pointing from one to the other. ... In quantum field theory, a nonlinear σ model is describes a scalar field Σ which takes on values in a nonlinear manifold called the target manifold T. The target manifold is equipped with a Riemannian metric g. ...

See nonlinear sigma model. In quantum field theory, a nonlinear σ model is describes a scalar field Σ which takes on values in a nonlinear manifold called the target manifold T. The target manifold is equipped with a Riemannian metric g. ...

Chiral model

See chiral model. In nuclear physics, the chiral model is a phenemological model describing mesons in the chiral limit where the masses of the quarks goes to zero (without mentioning quarks at all). ...

The Thirring model

See Thirring model.

The Sine-Gordon model

See Sine-Gordon. The Sine-Gordon equation is a partial differential equation for a function of two real variables, x and t, given as follows: The name is a pun on the Klein-Gordon equation. ...

The Chern-Simons model

See Chern-Simons model, topological quantum field theory. Topological quantum field theory in theoretical physics provides an example of background-independent quantum theory, but with no local degrees of freedom, and only finitely many degrees of freedom globally. ...

The Gross-Neveu model

See Gross-Neveu. Jump to: navigation, search The Gross-Neveu model is a quantum field theory model of Dirac fermions interacting via four fermion interactions. ...

Nambu-Jona-Lasinio model

See Nambu-Jona-Lasinio Jump to: navigation, search In quantum field theory, the Nambu-Jona-Lasinio model is a theory of interacting Dirac fermions with chiral symmetry. ...

Wess-Zumino-Witten model