Yang-Mills theory

Quantum field theory

Feynman diagram

History of... Background Gauge theory Field theory Poincaré symmetry Quantum mechanics Spontaneous symmetry breaking Symmetries Crossing Charge conjugation Parity Time reversal Tools Anomaly Effective field theory Expectation value Faddeev–Popov ghosts Feynman diagram LSZ reduction formula Partition function Propagator Quantization Renormalization Vacuum state Wick's theorem Wightman axioms Equations Dirac equation Klein–Gordon equation Proca equations Wheeler–deWitt equation Standard model Electroweak interaction Higgs mechanism Quantum chromodynamics Quantum electrodynamics Yang–Mills theory Incomplete theories Quantum gravity String theory Supersymmetry Theory of everything Scientists Adler • Bethe • Bogoliubov • Callan • Coleman • DeWitt • Dyson • Fermi • Feynman • Fierz • Fröhlich • Gell-Mann • Goldstone • Gross • 't Hooft • Jackiw • Klein • Landau • Lee • Lehmann • Majorana • Nambu • Parisi • Polyakov • Salam • Schwinger • Skyrme • Stueckelberg •Symanzik • Tomonaga • Veltman • Weinberg • Weisskopf • Wilson • Witten • Yang • Yukawa • Zimmermann • Zinn-Justin

This box: view • talk • edit

This article does not cite any references or sources. Please help improve this article by adding citations to reliable sources. Unverifiable material may be challenged and removed. (June 2008)

This article or section is in need of attention from an expert on the subject. WikiProject Physics or the Physics Portal may be able to help recruit one. If a more appropriate WikiProject or portal exists, please adjust this template accordingly. (April 2008)

Yang-Mills is a gauge theory of quantum field theory based on the SU(N) group. It was formulated by Yang and Mills in the 1950s and formed the basis for the electroweak unification and quantum chromodynamics (QCD). The weak interaction is described by SU(2) while QCD is a SU(3) gauge theory. The electroweak theory was combined using U(1)xSU(2), as quantum electrodynamics was described by U(1). For the Standard Model that unifies the strong, weak and electromagnetic interaction, the symmetry group is U(1)xSU(2)xSU(3).

One of the Clay Millennium Problems is to show that the Yang-Mills theory has a mass gap.

This physics-related article is a stub. You can help Wikipedia by expanding it.