Thermal properties of $\pi$ and $\rho$ meson

Abstract

We computed the pole masses and decay constants of $\pi$ and $\rho$ meson at finite temperature in the framework of Dyson-Schwinger equations and Bethe-Salpeter equations approach. Below transition temperature, pion pole mass increases monotonously, while $\rho$ meson seems to be temperature independent. Above transition temperature, pion mass approaches the free field limit, whereas $\rho$ meson is about twice as large as that limit. Pion and the longitudinal projection of $\rho$ meson decay constants have similar behaviour as the order parameter of chiral symmetry, whereas the transverse projection of $\rho$ meson decay constant rises monotonously as temperature increases. The inflection point of decay constant and the chiral susceptibility get the same phase transition temperature. Though there is no access to the thermal width of mesons within this scheme, it is discussed by analyzing the Gell-Mann-Oakes-Renner (GMOR) relation in medium. These thermal properties of hadron observables will help us understand the QCD phases at finite temperature and can be employed to improve the experimental data analysis and heavy ion collision simulations.

arXiv comment8 pages, 4 figures, matched the published version

References in corpus (74)

• Heavy quarkonium: progress, puzzles, and opportunities
• The chiral and deconfinement aspects of the QCD transition
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• The QCD phase diagram for small densities from imaginary chemical potential
• Decoding the phase structure of QCD via particle production at high energy
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Chiral crossover in QCD at zero and non-zero chemical potentials
• Bulk Properties of the Medium Produced in Relativistic Heavy-Ion Collisions from the Beam Energy Scan Program
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Dyson-Schwinger equations: a tool for hadron physics
• pi- and K-meson Bethe-Salpeter Amplitudes
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Pion mass and decay constant
• Search for the QCD Critical Point with Fluctuations of Conserved Quantities in Relativistic Heavy-Ion Collisions at RHIC : An Overview
• The QCD phase structure at finite temperature and density
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Heavy Ion Collisions: Achievements and Challenges
• Sketching the Bethe-Salpeter kernel
• Landau gauge Yang-Mills correlation functions
• Interaction model for the gap equation
• Phase structure of three and four flavor QCD
• Phase diagram and critical endpoint for strongly-interacting quarks
• Higher order fluctuations and correlations of conserved charges from lattice QCD
• Light mesons in QCD and unquenching effects from the 3PI effective action
• Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential
• Unquenched Gluon Propagator in Landau Gauge
• QCD phase structure from functional methods
• Controlling complex Langevin dynamics at finite density
• Commentary on rainbow-ladder truncation for excited states and exotics
• Small Shear Viscosity of a Quark-Gluon Plasma Implies Strong Jet Quenching
• Propagation of Cool Pions
• Meson screening masses from lattice QCD with two light and the strange quark
• Spectral functions of confined particles
• Running Gluon Mass from Landau Gauge Lattice QCD Propagator
• Light baryons below and above the deconfinement transition: medium effects and parity doubling
• Meson Screening Masses in (2+1)-Flavor QCD
• Symmetry, symmetry breaking, and pion parton distributions
• Higher order quark number fluctuations via imaginary chemical potentials in $N_f=2+1$ QCD
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• Numerical analytic continuation of Euclidean data
• Unquenching the gluon propagator with Schwinger-Dyson equations
• Gluon propagator and three-gluon vertex with dynamical quarks
• Non-perturbative finite-temperature Yang-Mills theory
• Heavy Quarks in the Quark-Gluon Plasma
• Yang-Mills two-point functions in linear covariant gauges
• Parton distribution amplitudes of light vector mesons
• Hyperons in thermal QCD: A lattice view
• Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
• Resonance poles and threshold energies for hadron physical problems by a model-independent universal algorithm
• Two-loop HTL pressure at finite temperature and chemical potential
• In-medium modifications of open and hidden strange-charm mesons from spatial correlation functions
• Finite T meson correlations and quark deconfinement
• T-dependence of pseudoscalar and scalar correlations
• Baryon and meson screening masses
• The $N_f=2$ QCD chiral phase transition with Wilson fermions at zero and imaginary chemical potential
• Drawing insights from pion parton distributions
• The low-momentum ghost dressing function and the gluon mass
• Off-shell persistence of composite pions and kaons
• Pions at Finite Temperature from QCD Sum Rules
• Gluon mass scale through nonlinearities and vertex interplay
• The $\sigma$-meson: four-quark vs. two-quark components and decay width in a Bethe-Salpeter approach
• Model prediction for temperature dependence of meson pole masses from lattice QCD results on meson screening masses
• Temperature Effect on Shear and Bulk Viscosities of QCD Matter
• Quarkonium production in heavy ion collisions: coupled Boltzmann transport equations
• Quarkonium production in heavy ion collisions: coupled Boltzmann transport equations
• Baryons in the plasma: in-medium effects and parity doubling
• Charmonium Spectral Functions and Transport Properties of Quark-Gluon Plasma
• Estimation of shear viscosity based on transverse momentum correlations
• Taste symmetry breaking at finite temperature
• Pseudo-scalar {\boldm $q\bar{q}$} bound states at finite temperatures within a Dyson-Schwinger--Bethe-Salpeter approach
• A Universal Constraint on the Infrared Behavior of the Ghost Propagator in QCD
• Three-Point Spectral Density in QED and the Ward Identity at Finite Temperature

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• QCD chiral condensate and pseudoscalar-meson properties in the nuclear medium at finite temperature
• Unified analysis of screening masses for vector and axial-vector mesons and their diquark partners in the Contact Interaction model
• Baryon and meson masses in the Nambu--Jona-Lasinio model: A Bayesian approach