What does the classical vacuum of the SU(2) Yang-Mills action correspond to? Does it correspond to Fμν=0 everywhere or just at the spatial infinity? In Srednicki’s book, he has shown that, there are infinite number of classical field configurations of zero energy, each charecterized by a winding number n. I believe, instantons doesn’t require Faμν=0 everywhere but only at the boundary. Am I right?
In Ryder's book, he talks about instantons but does he really shows that how SU(2) Yang-Mills theory has an infinite number of degenerate vacua?
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