Gribov horizon, Polyakov loop and finite temperature
arXiv:1910.01138
Abstract
We consider finite-temperature gauge theory in the continuum formulation. Choosing the Landau gauge, the existing gauge copies are taken into account by means of the Gribov-Zwanziger quantization scheme, which entails the introduction of a dynamical mass scale (Gribov mass) directly influencing the Green functions of the theory. Here, we determine simultaneously the Polyakov loop (vacuum expectation value) and Gribov mass in terms of temperature, by minimizing the vacuum energy with respect to the Polyakov-loop parameter and solving the Gribov gap equation. The main result is that the Gribov mass directly feels the deconfinement transition, visible from a cusp occurring at the same temperature where the Polyakov loop becomes nonzero. Finally, problems for the pressure at low temperatures are reported.
16 pages, 5 Figures; contribution to the proceedings of the 12th "Critical Point and Onset of Deconfinement Conference" (CPOD 2018), September 24 - 28, 2018, Corfu, Greece
References in corpus (19)
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
- Chiral and deconfinement transition from Dyson-Schwinger equations
- Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
- Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
- Glueball masses from an infrared moment problem and nonperturbative Landau gauge
- Soft breaking of BRST invariance for introducing non-perturbative infrared effects in a local and renormalizable way
- Gribov horizon and BRST symmetry: a few remarks
- Massless Mode and Positivity Violation in Hot QCD
- Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study
- An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
- A remark on the BRST symmetry in the Gribov-Zwanziger theory
- Equation of State of Gluon Plasma from Local Action
- Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking
- BRST-Symmetry Breaking and Bose-Ghost Propagator in Lattice Minimal Landau Gauge
- Thermodynamic instabilities in dynamical quark models with complex conjugate mass poles
- Nonperturbative contributions to the QCD pressure
- Finite-temperature Yang-Mills theory in the Hamiltonian approach in Coulomb gauge from a compactified spatial dimension
- The Gribov problem in presence of background field for Yang-Mills theory