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

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. MR733700.