Deconfinement phase transition and the quark condensate

Abstract

We study the dual quark condensate as a signal for the confinement-deconfinement phase transition of QCD. This order parameter for center symmetry has been defined recently by Bilgici et al. within the framework of lattice QCD. In this work we determine the ordinary and the dual quark condensate with functional methods using a formulation of the Dyson-Schwinger equations for the quark propagator on a torus. The temperature dependence of these condensates serves to investigate the interplay between the chiral and deconfinement transitions of quenched QCD.

4 pages, 3 figures, v2: minor changes, typos corrected, version accepted by PRL

References in corpus (13)

• The QCD transition temperature: results with physical masses in the continuum limit II.
• Equation of state and QCD transition at finite temperature
• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• Chiral phase boundary of QCD at finite temperature
• Dual quark condensate and dressed Polyakov loops
• Linking confinement to spectral properties of the Dirac operator
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• Beyond the rainbow: effects from pion back-coupling
• Spectral sums of the Dirac-Wilson Operator and their relation to the Polyakov loop
• Complete spectra of the Dirac operator and their relation to confinement
• Large volume behaviour of Yang-Mills propagators
• Relation between chiral symmetry breaking and confinement in YM-theories
• Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory

Cited by in corpus (95)

• The phase diagram of dense QCD
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Gauge bosons at zero and finite temperature
• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• On the relation of quark confinement and chiral symmetry breaking
• Phase structure of three and four flavor QCD
• Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• Confinement from Correlation Functions
• Chiral and deconfinement phase transitions of two-flavour QCD at finite temperature and chemical potential
• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• 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
• Baryon number fluctuations in the QCD phase diagram from Dyson-Schwinger equations
• Deconfinement transition in SU(N) theories from perturbation theory
• Hybrid stars with the Dyson-Schwinger quark model
• A Dyson-Schwinger study of the four-gluon vertex
• Nonlocal PNJL model beyond mean field and the QCD phase transition
• Correlation functions of Landau gauge Yang-Mills theory
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Baryon effects on the location of QCD's critical end point
• Landau gauge gluon and ghost propagators at finite temperature from quenched lattice QCD
• QCD matter in extreme environments
• The gluon propagator close to criticality
• Quark Number Fluctuations at Finite Temperature and Finite Chemical Potential via the Dyson-Schwinger Equation Approach
• Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
• Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study
• Two-loop study of the deconfinement transition in Yang-Mills theories: SU(3) and beyond
• Quark Spectral Function and Deconfinement at Nonzero Temperature
• Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential
• Quark spectral properties above Tc from Dyson-Schwinger equations
• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Hybrid protoneutron stars with the Dyson-Schwinger quark model
• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• Volume behaviour of quark condensate, pion mass and decay constant from Dyson-Schwinger equations
• Bayesian analysis of quark spectral properties from the Dyson-Schwinger equation
• Landau gauge gluon and ghost propagators from lattice QCD with Nf=2 twisted mass fermions at finite temperature
• Width of the QCD transition in a Polyakov-loop DSE model
• Dual quark condensate in the Polyakov-loop extended Nambu--Jona-Lasinio model
• Fermionic boundary conditions and the finite temperature transition of QCD
• Continuum study on QCD phase diagram through an OPE-modified gluon propagator
• The deconfinement phase transition in the Hamiltonian approach to Yang--Mills theory in Coulomb gauge
• The QCD chiral transition temperature in a Dyson-Schwinger-equation context
• Medium induced Lorentz symmetry breaking effects in nonlocal PNJL models
• Dense two-color QCD from Dyson-Schwinger equations
• Chiral phase transition and QCD phase diagram from AdS/QCD
• Chiral condensate and dressed Polyakov loop in the Nambu--Jona-Lasinio model
• On critical scaling at the QCD N_f=2 chiral phase transition
• A novel background field approach to the confinement-deconfinement transition
• Quark number holonomy and confinement-deconfinement transition
• Dynamical Locking of the Chiral and the Deconfinement Phase Transition in QCD
• Strange quark matter and quark stars with the Dyson-Schwinger quark model
• Quarks and light (pseudo-)scalar mesons at finite chemical potential
• Variational study of mass generation and deconfinement in Yang-Mills theory
• Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
• Locating the critical end point of QCD
• A holographic study on QCD phase transition and phase diagram with two flavors
• Dressed Polyakov loop and flavor dependent phase transitions
• A Gribov-Zwanziger type action invariant under background gauge transformations
• Adjoint quarks and fermionic boundary conditions
• Dual Fermion Condensates in Curved Space
• Chiral crossover transition from the Dyson-Schwinger equations in a sphere
• Extension to Imaginary Chemical Potential in a Holographic Model
• Masses and decay constants of (axial-)vector mesons at finite chemical potential
• Generic features of the phase transition in cold and dense quark matter
• Chiral susceptibility in dense thermo-magnetic QCD medium within HTL approximation
• Correlations between the deconfining and chiral transitions in holographic QCD
• Physical interpretation of the dressed Polyakov loop in the Nambu--Jona-Lasinio model
• Deconfinement transition and Black Holes
• Dual condensates at finite isospin chemical potential
• Chiral symmetry restoration and properties of Goldstone bosons at finite temperature
• Chiral and deconfinement phase transition in the Hamiltonian approach to QCD in Coulomb gauge
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• Two-flavor QCD at finite temperature and chemical potential in a functional approach
• Cosmological Decoherence from Thermal Gravitons
• Center phase transition from matter propagators in (scalar) QCD
• Exact high temperature expansion of the one-loop thermodynamic potential with complex chemical potential
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
• Finite Temperature Landau Gauge Lattice Quark Propagator
• Approaching the QCD phase diagram for N_f=2+1 and N_f=2+1+1 quark flavors
• Chemical Freeze-out Parameters via a Non-perturbative QCD Approach
• Dirac-mode analysis for quark number density and its application for deconfinement transition
• The quark propagator in QCD and $G_2$ QCD
• The phase diagram of N_f=2 and N_f=2+1 QCD from quark and gluon propagators
• Dual meson condensates in the Polyakov-loop extended linear sigma model
• Converting Neutron Stars into Strange Stars: Instanton Model
• Thermo-magnetic nonlocal NJL model in the real and imaginary time formalisms
• Two-flavor hybrid stars with the Dyson-Schwinger quark model
• The effective potential of the Polyakov loop in the Hamiltonian approach to QCD
• Influence of light quark loops on the Wigner phase with Dyson-Schwinger equations approach
• A non-perturbative approach to the study of confinement-deconfinement phase transition in S U(3) dual QCD formulation
• The scalar sunset diagram at finite temperature with imaginary square masses
• Quantum fields in the non-perturbative regime - Yang-Mills theory and gravity