A covariant variational approach to Yang-Mills Theory at finite temperatures

Abstract

We extend the covariant variational approach for SU(N) Yang-Mills theory in Landau gauge to non-zero temperatures. The renormalization of the zero-temperature case is revisited and it is shown that the same counterterms are sufficient to render the low-order Green's function finite at non-zero temperature. We compute the ghost and gluon propagator numerically and show that it agrees in all qualitative respects with the results of high-precision lattice calculations.

pdflatex, 36 pages, 10 pdf figures

References in corpus (20)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Infrared Properties of QCD from Dyson-Schwinger equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Pinch Technique: Theory and Applications
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Deconfinement transition in SU(N) theories from perturbation theory
• On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions
• Two-point correlation functions of QCD in the Landau gauge
• Gauge-invariant truncation scheme for the Schwinger-Dyson equations of QCD
• Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
• Power-law running of the effective gluon mass
• Does The Lattice Zero Momentum Gluon Propagator for Pure Gauge SU(3) Yang-Mills Theory Vanish in the Infinite Volume Limit?
• Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study
• Infrared finite ghost propagator in the Feynman gauge
• Infrared Gluon and Ghost Propagator Exponents From Lattice QCD
• The Gribov-Zwanziger action in the presence of the gauge invariant, nonlocal mass operator $Tr\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in the Landau gauge
• Approaching the QCD phase diagram for N_f=2+1 and N_f=2+1+1 quark flavors

Cited by in corpus (22)

• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Landau gauge Yang-Mills correlation functions
• Non-perturbative finite-temperature Yang-Mills theory
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• Yang-Mills correlators across the deconfinement phase transition
• The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Covariant variational approach to Yang-Mills Theory: effective potential of the Polyakov loop
• Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge
• Dyson--Schwinger approach to Hamiltonian Quantum Chromodynamics
• Covariant variational approach to Yang-Mills Theory: Thermodynamics
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• An exploratory study of Yang-Mills three-point functions at non-zero temperature
• Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
• Center phase transition from matter propagators in (scalar) QCD
• Exploring the Tan contact term in Yang-Mills theory
• A window on infrared QCD with small expansion parameters
• The Equal-Time Quark Propagator in Coulomb Gauge
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• The effective potential of the Polyakov loop in the Hamiltonian approach to QCD
• Exact Simulation of Loops in Lattice Gauge Theory
• Hamiltonian approach to QCD in Coulomb gauge at zero and finite temperature