Nonperturbative ghost dynamics in the maximal Abelian gauge

Abstract

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

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• Study of the properties of the Gribov region in SU(N) Euclidean Yang-Mills theories in the maximal Abelian gauge
• Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge
• A study of the lightest glueball states in SU(2) Euclidean Yang-Mills theory in the maximal Abelian gauge
• Phase with no mass gap in non-perturbatively gauge-fixed Yang--Mills theory
• Dimensional transmutation in the longitudinal sector of equivariantly gauge-fixed Yang-Mills theory
• Study of the all orders multiplicative renormalizability of a local matter confining Gribov-Zwanziger action in the MAG