The infrared behavior of the gluon and ghost propagators in SU(2) Yang-Mills theory in the maximal Abelian gauge

Abstract

We report on some recent analytical results on the behaviour of the gluon and ghost propagators in Euclidean SU(2) Yang-Mills theory quantized in the maximal Abelian gauge (MAG). This gauge is of particular interest for the dual superconductivity picture to explain color confinement. Two kinds of effects are taken into account: those arising from a treatment of Gribov copies in the MAG and those arising from a dynamical mass originating in a dimension two gluon condensate. The diagonal component of the gluon propagator displays the typical Gribov-type behaviour, while the off-diagonal component is of the Yukawa type due to the dynamical mass. These results are in qualitative agreement with available lattice data on the gluon propagators. The off-diagonal ghost propagator exhibits an infrared enhancement due to the Gribov restriction, while the diagonal one remains unaffected.

arXiv comment6 pages. Talk given by S.P. Sorella at the "I Latin American Workshop on High Energy Phenomenology (I LAWHEP)", December 1-3 2005, Instituto de Fisica, UFRGS, Porto Alegre, Rio Grande Do Sul, Brasil

Cited by in corpus (4)

• 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
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• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• Yang-Mills theory in the maximal Abelian gauge in presence of scalar matter fields