Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)

Abstract

We study a gauge invariant order parameter for deconfinement and the chiral condensate in SU(2) and SU(3) Yang-Mills theory in the vicinity of the deconfinement phase transition using the Landau gauge quark and gluon propagators. We determine the gluon propagator from lattice calculations and the quark propagator from its Dyson-Schwinger equation, using the gluon propagator as input. The critical temperature and a deconfinement order parameter are extracted from the gluon propagator and from the dependency of the quark propagator on the temporal boundary conditions. The chiral transition is determined using the quark condensate as order parameter. We investigate whether and how a difference in the chiral and deconfinement transition between SU(2) and SU(3) is manifest.

15 pages, 9 figures. For clarification one paragraph and two references added in the introduction and two sentences at the end of the first and last paragraph of the summary. Appeared in EPJC

References in corpus (46)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Aspects of the Functional Renormalisation Group
• The QCD transition temperature: results with physical masses in the continuum limit
• The QCD phase diagram for small densities from imaginary chemical potential
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Infrared Properties of QCD from Dyson-Schwinger equations
• Quark Confinement from Color Confinement
• Scaling and Asymptotic Scaling in the SU(2) Gauge Theory
• Analytic properties of the Landau gauge gluon and quark propagators
• The high temperature phase transition in SU(N) gauge theories
• Renormalization Group Approach towards the QCD Phase Diagram
• Deconfinement and Chiral Symmetry Restoration in an SU(3) Gauge Theory with Adjoint Fermions
• Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
• Deconfinement phase transition and the quark condensate
• Dual quark condensate and dressed Polyakov loops
• Chiral and deconfinement transition from Dyson-Schwinger equations
• Linking confinement to spectral properties of the Dirac operator
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• Gribov copies, Lattice QCD and the gluon propagator
• Beyond the rainbow: effects from pion back-coupling
• SU(2) Landau gluon propagator on a 140^3 lattice
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• Propagators and Dimensional Reduction of Hot SU(2) Gauge Theory
• Improved Landau gauge fixing and the suppression of finite-volume effects of the lattice gluon propagator
• Critical Slowing-Down in $SU(2)$ Landau Gauge-Fixing Algorithms
• Magnetic Screening in Hot Non-Abelian Gauge Theory
• High-Temperature Limit of Landau-Gauge Yang-Mills Theory
• Spectral sums of the Dirac-Wilson Operator and their relation to the Polyakov loop
• Scaling and Goldstone effects in a QCD with two flavours of adjoint quarks
• The High-Temperature Phase of Landau-Gauge Yang-Mills Theory
• Complete spectra of the Dirac operator and their relation to confinement
• Relation between chiral symmetry breaking and confinement in YM-theories
• Analytic structure of the gluon and quark propagators in Landau gauge QCD
• Fermionic boundary conditions and the finite temperature transition of QCD
• Infrared features of KS fermion and Wilson fermion in Lattice Landau Gauge QCD
• Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory
• Electric-magnetic asymmetry of the A^2 condensate and the phases of Yang-Mills theory
• A first look at Landau-gauge propagators in G2 Yang-Mills theory
• Zero Color Magnetization in QCD Matter
• Finite-temperature chiral condensate and low-lying Dirac eigenvalues in quenched SU(2) lattice gauge theory
• Adjoint quarks and fermionic boundary conditions
• The asymmetry of the dimension 2 gluon condensate: the zero temperature case
• Static quark-antiquark potential and Dirac eigenvector correlators
• SU(3) Gauge Theory with Adjoint Fermions

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• Mesons at finite chemical potential and the Silver-Blaze property of QCD
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• Finite Temperature Landau Gauge Lattice Quark Propagator
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