High-Temperature Limit of Landau-Gauge Yang-Mills Theory

Abstract

The infrared properties of the high-temperature limit of Landau-gauge Yang-Mills theory are investigated. In a first step the high-temperature limit of the Dyson-Schwinger equations is taken. The resulting equations are identical to the Dyson-Schwinger equations of the dimensionally reduced theory, a three-dimensional Yang-Mills theory coupled to an effective adjoint Higgs field. These equations are solved analytically in the infrared and ultraviolet, and numerically for all Euclidean momenta. We find infrared enhancement for the Faddeev-Popov ghosts, infrared suppression for transverse gluons and a mass for the Higgs. These results imply long-range interactions and over-screening in the chromomagnetic sector of high temperature Yang-Mills theory while in the chromoelectric sector only screening is observed.

21 pages, 23 figures, 3 tables, submitted to EPJ C

Cited by in corpus (54)

• Phases of Dense Quarks at Large N_c
• On the infrared behavior of Landau gauge Yang-Mills theory
• Gauge bosons at zero and finite temperature
• Chiral phase boundary of QCD at finite temperature
• Confinement from Correlation Functions
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
• Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• Running coupling at finite temperature and chiral symmetry restoration in QCD
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• Non-perturbative finite-temperature Yang-Mills theory
• Brout-Englert-Higgs physics: From foundations to phenomenology
• The gluon propagator close to criticality
• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Quark Confinement: The Hard Problem of Hadron Physics
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• Volume and Quark Mass Dependence of the Chiral Phase Transition
• Massless Mode and Positivity Violation in Hot QCD
• Color-superconductivity in the strong-coupling regime of Landau gauge QCD
• Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
• Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
• Quark spectral properties above Tc from Dyson-Schwinger equations
• The High-Temperature Phase of Landau-Gauge Yang-Mills Theory
• Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
• Large volume behaviour of Yang-Mills propagators
• Infrared Behavior of Three-Point Functions in Landau Gauge Yang-Mills Theory
• The effects of Gribov copies in 2D gauge theories
• Variational approach to Yang-Mills theory at finite temperatures
• The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
• Dyson-Schwinger approach to color superconductivity at finite temperature and density
• On the spectrum of the Faddeev-Popov operator in topological background fields
• Electric-magnetic asymmetry of the A^2 condensate and the phases of Yang-Mills theory
• Temperature Dependence of Gluon and Ghost Propagators in Landau-Gauge Yang-Mills Theory below the Phase Transition
• A first look at Landau-gauge propagators in G2 Yang-Mills theory
• Solving coupled Dyson--Schwinger equations on a compact manifold
• Gluons at finite temperature in Landau gauge Yang--Mills theory
• Some more details of minimal-Landau-gauge Yang-Mills propagators
• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Nonperturbative contributions to the QCD pressure
• Infrared-suppressed gluon propagator in 4d Yang-Mills theory in a Landau-like gauge
• Solving a Set of Truncated Dyson-Schwinger Equations with a Globally Converging Method
• Effects of the Running of the QCD Coupling on the Energy Loss in the Quark-Gluon Plasma
• Linear Covariant Gauges on the Lattice
• Combining infrared and low-temperature asymptotes in Yang-Mills theories
• One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model
• Coulomb gauge Yang-Mills theory at finite temperatures: glueballs versus quasi-gluons
• Recent progress in hard-thermal-loop QCD thermodynamics and collective excitations
• Describing gluons at zero and finite temperature
• Dyson-Schwinger equations and $\mathcal{N}=4$ SYM in Landau gauge
• Influence of broken flavor and C and P symmetry on the quark propagator