 Yang-Mills instanton Bogomolny bound

ID: yang-mills-instanton-bogomolny-bound

For

k = - (8 π^{2})^{- 1} \int Tr (F \land F)

and positive Euclidean action, decomposition into self-dual and anti-self-dual curvature gives

S_{YM} \geq \frac{8 π ^{2}}{g _{YM}^{2}} ∣ k ∣.

Equality holds for a self-dual or anti-self-dual connection.

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