Yang–Mills–Higgs equations

In mathematics, the Yang–Mills–Higgs equations are a set of non-linear partial differential equations for a Yang–Mills field, given by a connection, and a Higgs field, given by a section of a vector bundle. These equations are

D_{A}*F_{A}+[\Phi ,D_{A}\Phi ]=0,

D_{A}*D_{A}\Phi =0

\lim _{{|x|\rightarrow \infty }}|\Phi |(x)=1.

These equations are named after Chen Ning Yang, Robert Mills, and Peter Higgs.

References

Quantum field theories

Standard	Chern–Simons model Chiral model Kondo model Conformal field theory Local quantum field theory Noncommutative quantum field theory Non-linear sigma model Quartic interaction Quantum chromodynamics Quantum electrodynamics Quantum hadrodynamics Quantum Yang–Mills theory Schwinger model sine-Gordon Standard Model String theory Toda field theory Topological quantum field theory Wess–Zumino model Wess–Zumino–Witten model Yang–Mills theory Yang–Mills–Higgs model Yukawa model Thirring–Wess model

Four-fermion interactions	Thirring model Gross–Neveu model Nambu–Jona-Lasinio model

Related	History of quantum field theory Axiomatic quantum field theory Quantum field theory in curved spacetime

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