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

References in corpus (3)

• A study of the maximal Abelian gauge in SU(2) Euclidean Yang-Mills theory in the presence of the Gribov horizon
• Infrared Maximally Abelian Gauge
• Unitarity analysis of a non-Abelian gauge invariant action with a mass

Cited by in corpus (2)

• The gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge: taking into account the effects of the Gribov copies and of the dimension two condensates
• Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge