Variational approach to Yang-Mills theory at finite temperatures

2011/07/18 by Hugo Reinhardt, Davide R. Campagnari, Adam P. Szczepaniak
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Coulomb #Gauge (firearms) #Gauge theory #Gluon #High-Energy Particle Collisions Research #Loop (graph theory) #Materials science #Mathematical physics #Mathematics #Order (exchange) #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Variational method #Yang–Mills theory #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.84.045006

published as Phys.Rev.D84:045006,2011 · 11 pages, 6 eps figures

arxiv created 2011/07/18 · openalex publication_date 2011/08/04 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Quantization of non-Abelian gauge theories
• Chiral effective model with the Polyakov loop
• Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
• Confinement models at finite temperature and density
• Color-spin locking in a self-consistent Dyson-Schwinger approach
• Polyakov loop in chiral quark models at finite temperature
• No Confinement without Coulomb Confinement
• Chiral symmetry restoration and deconfinement in Coulomb gauge QCD
• Color superconductivity in the strong-coupling regime of Landau gauge QCD
• Hamiltonian approach to 1+1 dimensional Yang–Mills theory in Coulomb gauge
• The QCD phase diagram: Results and challenges
• Glueball Spectroscopy in a Relativistic Many-Body Approach to Hadronic Structure
• Advances in perturbative thermal field theory
• Subcritical solution of the Yang-Mills Schrödinger equation in the Coulomb gauge
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• Color superconductivity in dense quark matter
• Constructing non-perturbative gauges using correlation functions
• The ’t Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge