Yang–Mills equations

Common card · No. 401763

In physics and mathematics, and especially differential geometry and gauge theory, the Yang–Mills equations are a system of partial differential equations for a connection on a vector bundle or principal bundle. They arise in physics as the Euler–Lagrange equations of the Yang–Mills action functional. They have also found significant use in mathematics. Solutions of the equations are called Yang–Mills connections. In four-dimensional Euclidean settings, the self-dual or anti-self-dual finite-action solutions are called instantons. The Yang–Mills moduli space was used by Simon Donaldson to prove Donaldson's theorem.

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