Gauge copies in the Landau-DeWitt gauge: a background invariant restriction

Abstract

The Landau background gauge, also known as the Landau-DeWitt gauge, has found renewed interest during the past decade given its usefulness in accessing the confinement-deconfinement transition via the vacuum expectation value of the Polyakov loop, describable via an appropriate background. In this Letter, we revisit this gauge from the viewpoint of it displaying gauge (Gribov) copies. We generalize the Gribov-Zwanziger effective action in a BRST and background invariant way; this action leads to a restriction on the allowed gauge fluctuations, thereby eliminating the infinitesimal background gauge copies. The explicit background invariance of our action is in contrast with earlier attempts to write down and use an effective Gribov-Zwanziger action. It allows to address certain subtleties arising in these earlier works, such as a spontaneous and thus spurious Lorentz symmetry breaking, something which is now averted.

14 pages. v2: version to appear in Phys.Lett.B, with minor modifications and extra references

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Cited by in corpus (12)

• The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
• The BRST-invariant vacuum state of the Gribov-Zwanziger theory
• A fresh look at the (non-)Abelian Landau-Khalatnikov-Fradkin transformations
• A Gribov-Zwanziger type action invariant under background gauge transformations
• Towards background field independence within the Gribov horizon
• Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
• Infinitesimal Gribov copies in gauge-fixed topological Yang-Mills theories
• Implications of the Topological Chern-Simons mass in the Gap Equation
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• The scalar sunset diagram at finite temperature with imaginary square masses
• Gribov horizon, Polyakov loop and finite temperature