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

with a boundary condition

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

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

References

Taubes, Clifford Henry (1984). "On the Yang-Mills-Higgs equations". Bulletin of the American Mathematical Society, New Series 10 (2): 295–297. doi:10.1090/S0273-0979-1984-15254-6. MR 733700.

Quantum field theories

Standard	Chern–Simons model Chiral model Kondo model Conformal field theory Noncommutative quantum field theory Non-linear sigma model Quartic interaction Quantum chromodynamics Quantum electrodynamics 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

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