Yang–Mills

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Quantum field theory

Feynman diagram

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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).

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