Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study

Abstract

In a recent work we have proposed a perturbative approach for the study of the phase transition of pure Yang-Mills theories at finite temperature. This is based on a simple massive extension of background field methods in the Landau-DeWitt gauge, where the gluon mass term is related to the existence of Gribov ambiguities. We have shown that a one-loop calculation of the background field effective potential describes well the phase structure of the SU(2) and SU(3) theories. Here, we present the calculation of the next-to-leading-order contribution in perturbation theory for the SU(2) case. In particular, we compute the background field effective potential at two-loop order and the corresponding Polyakov loop, a gauge invariant order parameter of the transition, at one-loop order. We show that the two-loop correction brings the critical temperature closer to its actual value as compared to the previous one-loop result. We also compute the thermodynamic pressure as a function of the temperature and show that two-loop contributions play an important role in the vicinity of the phase transition.

26 pages, 11 figures, published version (PRD)

References in corpus (51)

• The equation of state in (2+1)-flavor QCD
• Full result for the QCD equation of state with 2+1 flavors
• Transport coefficients in high temperature gauge theories: (II) Beyond leading log
• Transport coefficients in high temperature gauge theories: (I) Leading-log results
• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
• Quark Confinement from Color Confinement
• Approximately self-consistent resummations for the thermodynamics of the quark-gluon plasma. I. Entropy and density
• SU(N) gauge theories at large N
• The Gribov problem and QCD dynamics
• Infrared propagators of Yang-Mills theory from perturbation theory
• Gauge bosons at zero and finite temperature
• The entropy of the QCD plasma
• Equation of State for the SU(3) Gauge Theory
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Analytic structure of the Landau gauge gluon propagator
• An Infrared Safe perturbative approach to Yang-Mills correlators
• The QCD equation of state from the lattice
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• Lattice QCD at non-zero temperature
• Quark number susceptibilities from HTL-resummed thermodynamics
• Three-point correlation functions in Yang-Mills theory
• HTL Perturbation Theory to Two Loops
• Lifting the Gribov ambiguity in Yang-Mills theories
• Confinement from Correlation Functions
• Three-loop HTL QCD thermodynamics
• Chiral and deconfinement phase transitions of two-flavour QCD at finite temperature and chemical potential
• Deconfinement phase transition and the quark condensate
• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Hard-thermal-loop Resummation of the Thermodynamics of a Hot Gluon Plasma
• Polyakov loop potential at finite density
• On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
• Chiral and deconfinement transition from Dyson-Schwinger equations
• Three loop MSbar renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD
• Three-loop HTLpt Pressure and Susceptibilities at Finite Temperature and Density
• Gluon spectral functions and transport coefficients in Yang--Mills theory
• Deconfinement transition in SU(N) theories from perturbation theory
• Two-point correlation functions of QCD in the Landau gauge
• Renormalizing a BRST-invariant composite operator of mass dimension 2 in Yang-Mills theory
• Quark spectral properties above Tc from Dyson-Schwinger equations
• An effective gluon potential and hybrid approach to Yang-Mills thermodynamics
• Covariant gauges without Gribov ambiguities in Yang-Mills theories
• Yang-Mills correlators at finite temperature: A perturbative perspective
• The effective potential of the confinement order parameter in the Hamiltonian approach
• Polyakov loop and QCD thermodynamics from the gluon and ghost propagators
• The effective potential of the confinement order parameter in the Hamilton approach
• BRST-Symmetry Breaking and Bose-Ghost Propagator in Lattice Minimal Landau Gauge
• AntiBRST symmetry and Background Field Method
• Dynamically induced scalar quark confinement
• Isolating vacuum amplitudes in quantum field calculations at finite temperature
• The Minimal Landau Background Gauge on the Lattice

Cited by in corpus (47)

• The nonperturbative functional renormalization group and its applications
• The QCD phase structure at finite temperature and density
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Non-perturbative finite-temperature Yang-Mills theory
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• Two-loop study of the deconfinement transition in Yang-Mills theories: SU(3) and beyond
• Small parameters in infrared quantum chromodynamics
• A perturbative study of the QCD phase diagram for heavy quarks at nonzero chemical potential: two-loop corrections
• Quark-gluon vertex from the Landau gauge Curci-Ferrari model
• Yang-Mills correlators across the deconfinement phase transition
• The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
• A covariant variational approach to Yang-Mills Theory at finite temperatures
• Influence of Gribov ambiguities in a class of nonlinear covariant gauges
• Complex poles and spectral functions of Landau gauge QCD and QCD-like theories
• A novel background field approach to the confinement-deconfinement transition
• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• Localized rainbows in the QCD phase diagram
• From quarks and gluons to color superconductivity at supranuclear densities
• Some remarks on the spectral functions of the Abelian Higgs Model
• Variational study of mass generation and deconfinement in Yang-Mills theory
• Gluon Dynamics, Center Symmetry and the deconfinement phase transition in SU(3) pure Yang-Mills theory
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Calculation of the non-perturbative strong coupling from first principles
• Two-loop corrections to the QCD propagators within the Curci-Ferrari model
• Covariant variational approach to Yang-Mills Theory: effective potential of the Polyakov loop
• A Gribov-Zwanziger type action invariant under background gauge transformations
• Symmetry restoration and the gluon mass in the Landau gauge
• Thermodynamics of an exactly solvable confining quark model
• Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
• Small parameters in infrared QCD: The pion decay constant
• Covariant variational approach to Yang-Mills Theory: Thermodynamics
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
• Dynamically massive linear covariant gauges: setup and first results
• Effects of a quark chemical potential on the analytic structure of the gluon propagator
• QCD phase diagram from the gluon propagator at finite temperature and density
• A window on infrared QCD with small expansion parameters
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• On the contribution of different coupling constants in the infrared regime of Yang-Mills theory: a Curci-Ferrari approach
• Massive Gauge Theory with Quasigluon for Hot $SU(N)$: Phase Transition and Thermodynamics
• The scalar sunset diagram at finite temperature with imaginary square masses
• Confinement/deconfinement transition temperature from the Polyakov loop potential and gauge-invariant gluon mass
• Thermal quarks and Polyakov loops in two-color dense QCD
• Gribov horizon, Polyakov loop and finite temperature
• One-loop analytic structure of the deep-infrared Landau-gauge gluon propagator at finite temperature
• Deconfinement of classical Yang-Mills color fields in a disorder potential