Variational approach to Yang-Mills theory at finite temperatures

Abstract

We study the finite-temperature phase of a gluon ensemble in a variational approximation to QCD in the Coulomb gauge. We derive and numerically solve the underlying Dyson-Schwinger equations up to one-loop order. Assuming the subcritical solution at T=0, we find a sharp transition in the infrared value of the gluon energy at a critical temperature.

11 pages, 6 eps figures

References in corpus (13)

• Color superconductivity in dense quark matter
• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• Coulomb gauge gluon propagator and the Gribov formula
• Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
• The QCD phase diagram: Results and challenges
• Color-superconductivity in the strong-coupling regime of Landau gauge QCD
• Propagator Dyson-Schwinger Equations of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• The Coulomb gauge ghost Dyson-Schwinger equation
• The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Color-spin locking in a self-consistent Dyson-Schwinger approach
• Resolving temporal Gribov copies in Coulomb gauge Yang-Mills theory
• Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge

Cited by in corpus (25)

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• Coulomb vs. physical string tension on the lattice
• The deconfinement phase transition in the Hamiltonian approach to Yang--Mills theory in Coulomb gauge
• Quark Sector of the QCD Groundstate in Coulomb Gauge
• Vertex functions of Coulomb gauge Yang--Mills theory
• The ghost-gluon vertex in Hamiltonian Yang-Mills theory in Coulomb gauge
• Finite-temperature Yang-Mills theory in the Hamiltonian approach in Coulomb gauge from a compactified spatial dimension
• Hamiltonian finite-temperature quantum field theory from its vacuum on partially compactified space
• Glueballs and the Yang-Mills plasma in a $T$-matrix approach
• Low energy meson spectrum from a QCD approach based on many-body methods
• Dyson-Schwinger approach to strongly coupled theories
• Dyson--Schwinger approach to Hamiltonian Quantum Chromodynamics
• Coulomb gauge Yang-Mills theory at finite temperatures: glueballs versus quasi-gluons
• Chiral and deconfinement phase transition in the Hamiltonian approach to QCD in Coulomb gauge
• Gluon chain formation in presence of static charges
• Schwinger-Dyson Equations in Coulomb Gauge Consistent with Numerical Simulation
• Hamiltonian formalism for Bose excitations in a plasma with a non-Abelian interaction I: plasmon -- hard particle scattering
• Theoretical results for hadronic masses and their widths in the framework of the SO(4) model
• Hamiltonian approach to QCD in Coulomb gauge at zero and finite temperature
• Hamiltonian approach to QCD in Coulomb gauge: Gribov's confinement scenario at work
• Hamiltonian approach to QCD in Coulomb gauge: From the vacuum to finite temperatures
• Gauge-fixed Lattice QCD and the dispersion relation of Wilson fermions