Chiral symmetry restoration and properties of Goldstone bosons at finite temperature

Abstract

We study chiral symmetry restoration by analyzing thermal properties of QCD's (pseudo-)Goldstone bosons, especially the pion. The meson properties are obtained from the spectral densities of mesonic imaginary-time correlation functions. To obtain the correlation functions, we solve the Dyson-Schwinger equations and the inhomogeneous Bethe-Salpeter equations in the leading symmetry-preserving rainbow-ladder approximation. In the chiral limit, the pion and its partner sigma degenerate at the critical temperature $T_c$. At $T\gtrsim T_c$, it is found that the pion rapidly dissociates, which signals deconfinement phase transition. Beyond the chiral limit, the pion dissociation temperature can be used to define the pseudo-critical temperature of chiral phase crossover, which is consistent with that obtained by the maximum point of the chiral susceptibility. The parallel analysis for kaon and pseudoscalar $s\bar{s}$ suggests that heavy mesons may survive above $T_c$.

References in corpus (60)

• Dyson-Schwinger Equations and the Application to Hadronic Physics
• The phase diagram of dense QCD
• Chiral crossover in QCD at zero and non-zero chemical potentials
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Dyson-Schwinger equations: a tool for hadron physics
• pi- and K-meson Bethe-Salpeter Amplitudes
• Maximum Entropy Analysis of the Spectral Functions in Lattice QCD
• The QCD phase structure at finite temperature and density
• Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Dynamical Chiral Symmetry Breaking, Goldstone's Theorem and the Consistency of the Schwinger--Dyson and Bethe--Salpeter Equations
• Interaction model for the gap equation
• Chiral phase transition temperature in (2+1)-Flavor QCD
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Phase structure of three and four flavor QCD
• Phase diagram and critical endpoint for strongly-interacting quarks
• Hadron Properties and Dyson-Schwinger Equations
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• QCD phase structure from functional methods
• Continuum and lattice meson spectral functions at nonzero momentum and high temperature
• Spectral Functions for the Quark-Meson Model Phase Diagram from the Functional Renormalization Group
• Deconfinement phase transition and the quark condensate
• Meson screening masses from lattice QCD with two light and the strange quark
• Chiral and deconfinement transition from Dyson-Schwinger equations
• Infinite temperature limit of meson spectral functions calculated on the lattice
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Pion Dynamics at Finite Temperature
• Thermal pions in a magnetic background
• Chiral Susceptibility in (2+1)-flavour QCD
• Phase diagram and thermal properties of strong-interaction matter
• ${\gamma }^{\ast }\gamma \to \eta ,{\eta }^{\prime }$ transition form factors
• Pion and Kaon Condensation at Finite Temperature and Density
• Quark Number Fluctuations at Finite Temperature and Finite Chemical Potential via the Dyson-Schwinger Equation Approach
• The QCD crossover at zero and non-zero baryon densities from Lattice QCD
• Elastic electromagnetic form factors of vector mesons
• T-dependence of pseudoscalar and scalar correlations
• Quark Spectral Function and Deconfinement at Nonzero Temperature
• Baryon and meson screening masses
• Quark spectral density and a strongly-coupled QGP
• Finite temperature spectral functions in the O(N)-model
• $\bar{q}q$ condensate for light quarks beyond the chiral limit
• The pion quasiparticle in the low-temperature phase of QCD
• Quark spectral properties above Tc from Dyson-Schwinger equations
• Thermodynamics of the QCD transition from lattice
• Resolving the Bethe-Salpeter kernel
• Extraction of Spectral Functions from Dyson-Schwinger Studies via the Maximum Entropy Method
• Chiral Phase Transition and Meson Melting from AdS/QCD
• Pion dissociation and Levinson's theorem in hot PNJL quark matter
• Thermodynamics of strong-interaction matter from Lattice QCD
• The pole and screening masses of neutral pion in hot and magnetized medium: a comprehensive study in the Nambu--Jona-Lasinio model
• The QCD chiral transition temperature in a Dyson-Schwinger-equation context
• Zero mode in a strongly coupled quark gluon plasma
• Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
• Chiral crossover transition from the Dyson-Schwinger equations in a sphere
• Charmonium Spectral Functions and Transport Properties of Quark-Gluon Plasma
• Thermal Mass Spectra of Scalar and Pseudo-Scalar Mesons in IR-improved Soft-Wall AdS/QCD Model with Finite Chemical Potential
• Thermal properties of $\pi$ and $\rho$ meson
• Effects of composite pions on the chiral condensate within the PNJL model at finite temperature
• New insight on the quark condensate beyond chiral limit
• Flavor dependence of the thermal dissociations of vector and axial-vector mesons

Cited by in corpus (5)

• The electromagnetic form factors of heavy-light pseudo-scalar and vector mesons
• Axial anomaly effect to the chiral-partner structure of diquarks at high temperature
• Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework
• Fate of ${\Sigma }_c$, ${\Xi }_c^{\prime }$ and ${\Omega }_c$ baryons at high temperature with chiral restoration
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings from Dyson-Schwinger equations framework