Quark Spectral Function and Deconfinement at Nonzero Temperature

Abstract

The maximum entropy method is used to compute the quark spectral function at nonzero temperature. We solve the gap equation of quantum chromodynamics (QCD) self-consistently, employing a rainbow kernel which phenomenologically models results from Dyson-Schwinger equations (DSE) and lattice QCD. We use the criterion of positivity restoration of the spectral function as a signal for deconfinement. Our calculation indicates that the critical temperature of deconfinement $T_d$ is slightly smaller than the one of chiral symmetry restoration $T_c$: $T_d\sim 94$ in the chiral limit, and $T_d\sim 96$ with physical light quark masses. Since these deviations are within the systematic error of our approach, it is reasonable to conclude that chiral symmetry restoration and deconfinement coincide at zero chemical potential.

References in corpus (9)

• The QCD transition temperature: results with physical masses in the continuum limit II.
• Phase diagram and critical endpoint for strongly-interacting quarks
• Hadron Properties and Dyson-Schwinger Equations
• Non-perturbative comparison of QCD effective charges
• Dual quark condensate and dressed Polyakov loops
• Chiral and deconfinement transition from Dyson-Schwinger equations
• Quark spectral density and a strongly-coupled QGP
• Quark spectral properties above Tc from Dyson-Schwinger equations
• Extraction of Spectral Functions from Dyson-Schwinger Studies via the Maximum Entropy Method

Cited by in corpus (48)

• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Phase structure of three and four flavor QCD
• Spectral Functions for the Quark-Meson Model Phase Diagram from the Functional Renormalization Group
• Reconstructing the gluon
• Källén-Lehmann spectroscopy for (un)physical degrees of freedom
• A holographic model for QCD in the Veneziano limit at finite temperature and density
• Gluon spectral functions and transport coefficients in Yang--Mills theory
• Locating the Gribov horizon
• Empirical Consequences of Emergent Mass
• In-Medium Spectral Functions of Vector- and Axial-Vector Mesons from the Functional Renormalization Group
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Phase diagram and thermal properties of strong-interaction matter
• Massless Mode and Positivity Violation in Hot QCD
• Quark Number Fluctuations at Finite Temperature and Finite Chemical Potential via the Dyson-Schwinger Equation Approach
• Reflections upon the Emergence of Hadronic Mass
• Flow equations for spectral functions at finite external momenta
• Spectral representation of lattice gluon and ghost propagators at zero temperature
• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Scale-setting, flavour dependence and chiral symmetry restoration
• Contact interaction analysis of pion GTMDs
• Bayesian analysis of quark spectral properties from the Dyson-Schwinger equation
• Spectral and Transport Properties of Quark-Gluon Plasma in a Nonperturbative Approach
• Pseudoscalar glueball mass: a window on three-gluon interactions
• Vector and Axial-Vector Mesons in Nuclear Matter
• Finite temperature gluon spectral functions from $N_f=2+1+1$ lattice QCD
• Fermionic spectral functions with the Functional Renormalization Group
• Dense two-color QCD from Dyson-Schwinger equations
• A Novel Algorithm for Extracting the Parton Distribution Amplitude from the Euclidean Bethe-Salpeter Wave Function
• Zero mode in a strongly coupled quark gluon plasma
• N* Structure and Strong QCD
• On the quark spectral function in QCD
• Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
• Temperature Effect on Shear and Bulk Viscosities of QCD Matter
• Charmonium Spectral Functions and Transport Properties of Quark-Gluon Plasma
• Fermionic excitations at finite temperature and density
• Thermalization and dynamical spectral properties in the quark-meson model
• Spectral Functions from the Functional Renormalization Group
• Chiral symmetry restoration and properties of Goldstone bosons at finite temperature
• New insight on the quark condensate beyond chiral limit
• Extending the truncated Dyson-Schwinger equation to finite temperatures
• Spectral functions from the functional renormalization group at finite temperature and density
• Emergence of soft quark excitations by the coupling with a soft mode of the QCD critical point
• Gauge Technique approximation to the $\pi \gamma$ production and the pion transition form factor
• Pseudo-scalar {\boldm $q\bar{q}$} bound states at finite temperatures within a Dyson-Schwinger--Bethe-Salpeter approach
• Analytic continuation and physical content of the gluon propagator
• Flavor dependence of the thermal dissociations of vector and axial-vector mesons
• Constraining the Hadron-Quark Phase Transition Chemical Potential via Astronomical Observation
• Quarkonium in a thermal BIon