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

$D_A*F_A%2B[\Phi,D_A\Phi]=0$ ,

$D_A*D_A\Phi=0$

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. MR 733700. http://projecteuclid.org/euclid.bams/1183551581.

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