Size of the Gribov region in curved spacetime

Abstract

Recent work in the literature has argued that the joint effect of spacetime curvature and the Gribov ambiguity may introduce further modifications to the Green functions in the infrared. This paper focuses on a simple criterion for studying the effect of spacetime curvature on the size of the Gribov region, improving the accuracy of the previous analysis. It is shown that, depending on the sign of the scalar and Riemann curvature, the Gribov horizon moves inward or, instead, outward with respect to the case of flat spacetime. This is made clear by two novel inequalities here derived for the first time.

11 pages, Revtex4. Section 5 has been added. References from 10 to 17 have been added. arXiv admin note: text overlap with arXiv:1308.5344

References in corpus (5)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• On the elimination of infinitesimal Gribov ambiguities in non-Abelian gauge theories
• On the FP-ghost propagators for Yang-Mills theories and perturbative quantum gravity in the covariant gauge in de Sitter spacetime

Cited by in corpus (7)

• Gribov gap equation at finite temperature
• The Gribov problem in Noncommutative QED
• On Gauge Independence for Gauge Models with Soft Breaking of BRST Symmetry
• Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
• The Gribov problem in presence of background field for $SU(2)$ Yang-Mills theory
• The Gribov problem in Noncommutative gauge theory
• On infrared problems of effective Lagrangians of massive spin 2 fields coupled to gauge fields