Nonperturbative ghost dynamics in the maximal Abelian gauge

Abstract

We construct the effective potential for the ghost condensate <fabica cb> in the maximal Abelian gauge. This condensate is an order parameter for a global continuous symmetry, which is spontaneously broken since a nonvanishing value of <fabica cb> lowers the vacuum energy. The associated Goldstone mode turns out to be unphysical.

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