Nonperturbative ghost dynamics in the maximal Abelian gauge

Capri, M. A. L.; Dudal, D.; Gracey, J. A.; Sorella, S. P.; Verschelde, H.

Nonperturbative ghost dynamics in the maximal Abelian gauge

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Description

We construct the effective potential for the ghost condensate <f^{abi}\bar{c}^a c^b> 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 <f^{abi}\bar{c}^a c^b> lowers the vacuum energy. The associated Goldstone mode turns out to be unphysical.
16 pages. v2: version accepted for publication in JHEP