The Gribov problem in presence of background field for Yang-Mills theory
arXiv:1610.08067 · doi:10.1016/j.physletb.2016.10.024
Abstract
The Gribov problem in the presence of a background field is analyzed: in particular, we study the Gribov copies equation in the Landau-De Witt gauge as well as the semi-classical Gribov gap equation. As background field, we choose the simplest non-trivial one which corresponds to a constant gauge potential with non-vanishing component along the Euclidean time direction. This kind of constant non-Abelian background fields is very relevant in relation with (the computation of) the Polyakov loop but it also appears when one considers the non-Abelian Schwinger effect. We show that the Gribov copies equation is affected directly by the presence of the background field, constructing an explicit example. The analysis of the Gribov gap equation shows that the larger the background field, the smaller the Gribov mass parameter. These results strongly suggest that the relevance of the Gribov copies (from the path integral point of view) decreases as the size of the background field increases.
arXiv comment14 pages; 2 figures. In the new version a small but non-zero temperature has been included. Typo corrected. The numerical results basically unchanged
References in corpus (31)
- NJL-model analysis of dense quark matter
- Strange Quark Matter and Compact Stars
- Electroweak Baryon Number Non-Conservation in the Early Universe and in High Energy Collisions
- The Quark-Gluon Plasma in Equilibrium
- Scaling and Asymptotic Scaling in the SU(2) Gauge Theory
- The Gribov problem and QCD dynamics
- Two lectures on color superconductivity
- No confinement without Coulomb confinement
- Landau gauge within the Gribov horizon
- Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
- Glueball masses from an infrared moment problem and nonperturbative Landau gauge
- Melting of the Higgs Vacuum: Conserved Numbers at High Temperature
- Dense Quark Matter in Nature
- Quark-Gluon Plasmas and Thermalization
- Stabilizing perturbative Yang-Mills thermodynamics with Gribov quantization
- Equation of State of Gluon Plasma from Local Action
- The quark-gluon plasma at RHIC
- AntiBRST symmetry and Background Field Method
- Casimir energy in the Gribov-Zwanziger approach to QCD
- Gribov ambiguity and degenerate systems
- Gribov Problem for Gauge Theories: a Pedagogical Introduction
- Gribov pendulum in the Coulomb gauge on curved spaces
- Gribov gap equation at finite temperature
- Gribov ambiguity in asymptotically AdS three-dimensional gravity
- Gravitationally induced zero modes of the Faddeev-Popov operator in the Coulomb gauge for Abelian gauge theories
- A few remarks on the zero modes of the Faddeev-Popov operator in the Landau and maximal Abelian gauges
- Study of Yang-Mills-Chern-Simons theory in presence of the Gribov horizon
- Size of the Gribov region in curved spacetime
- Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
- Local QCD Action at Finite Temperature
- On infrared problems of effective Lagrangians of massive spin 2 fields coupled to gauge fields
Cited by in corpus (8)
- Accessing the topological susceptibility via the Gribov horizon
- A Gribov-Zwanziger type action invariant under background gauge transformations
- Gauge copies in the Landau-DeWitt gauge: a background invariant restriction
- Towards background field independence within the Gribov horizon
- Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
- Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
- Non-Abelian gauge theories with composite fields in the background field method
- Gribov horizon, Polyakov loop and finite temperature