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.
arXiv comment16 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 (39)
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- Quark Confinement from Color Confinement
- New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
- Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
- The dynamical origin of the refinement of the Gribov-Zwanziger theory
- Thermodynamics of QCD at vanishing density
- Landau gauge within the Gribov horizon
- Chiral and deconfinement transition from Dyson-Schwinger equations
- Continuum study of deconfinement at finite temperature
- Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
- Deconfinement transition in SU(N) theories from perturbation theory
- 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
- Gribov horizon and i-particles: about a toy model and the construction of physical operators
- Massless Mode and Positivity Violation in Hot QCD
- Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study
- Stabilizing perturbative Yang-Mills thermodynamics with Gribov quantization
- The Gribov horizon and spontaneous BRST symmetry breaking
- 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
- The effective potential of the confinement order parameter in the Hamiltonian approach
- The effective potential of the confinement order parameter in the Hamilton approach
- Gluon confinement, i-particles and BRST soft breaking
- 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
- More on the renormalization of the horizon function of the Gribov-Zwanziger action and the Kugo-Ojima Green function(s)
- On the computation of the spectral density of two-point functions: complex masses, cut rules and beyond
- Bulk viscosity in a plasma of Gribov-Zwanziger gluons
- Padé approximation and glueball mass estimates in 3d and 4d with N_c = 2,3 colors
- Thermodynamic instabilities in dynamical quark models with complex conjugate mass poles
- Nonperturbative contributions to the QCD pressure
- A Gribov-Zwanziger type action invariant under background gauge transformations
- Finite-temperature Yang-Mills theory in the Hamiltonian approach in Coulomb gauge from a compactified spatial dimension
- Gauge copies in the Landau-DeWitt gauge: a background invariant restriction
- Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
- The Gribov problem in presence of background field for Yang-Mills theory