Chiral Relaxation Time at the Crossover of Quantum Chromodynamics

Abstract

We study microscopic processes responsible for chirality flips in the thermal bath of Quantum Chromodynamics at finite temperature and zero baryon chemical potential. We focus on the temperature range where the crossover from chirally broken phase to quark-gluon plasma takes place, namely $T\simeq (150,200)$ MeV. The processes we consider are quark-quark scatterings mediated by collective excitations with the quantum number of pions and $\sigma$-meson, hence we refer to these processes simply as \sugg{to} one-pion (one-$\sigma$) exchange\sugg{s}. We use a Nambu-Jona-Lasinio model to compute equilibrium properties of the thermal bath, as well as the relevant scattering kernel to be used in the collision integral to estimate the chiral relaxation time $\tau$. We find $\tau \simeq 0.1÷1$ fm/c around the chiral crossover.

arXiv comment16 pages, 8 figures. One figure (lower panel of Fig. 6) added in comparison with V1. New version to appear on Phys. Rev. D

References in corpus (41)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• QCD Phenomenology based on a Chiral Effective Lagrangian
• Observation of the chiral magnetic effect in ZrTe5
• Hydrodynamics with Triangle Anomalies
• Gravitational Anomaly and Transport
• Anomalous Axion Interactions and Topological Currents in Dense Matter
• Hydrodynamics from charged black branes
• Chiral Magnetic Wave
• Quantum Anomalies in Dense Matter
• Massive gluons and quarks and the equation of state obtained from SU(3) lattice QCD
• Chiral magnetic effect in the PNJL model
• The Sphaleron Rate in SU(N) Gauge Theory
• The chiral magnetic effect in hydrodynamical approach
• Recent thermodynamic results from lattice QCD analyzed within a quasi-particle model
• A condensed matter realization of the axial magnetic effect
• Notes on chiral hydrodynamics within effective theory approach
• A Family of Equations of State Based on Lattice QCD: Impact on Flow in Ultrarelativistic Heavy-Ion Collisions
• Hot Quark Matter with an Axial Chemical Potential
• Dynamical evolution of the chiral magnetic effect: Applications to the quark-gluon plasma
• The QCD equation of state near T_0 within a quasi-particle model
• Study of QCD Phase Diagram with Non-Zero Chiral Chemical Potential
• Phase diagram of chirally imbalanced QCD matter
• The chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations
• Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential
• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter
• The effect of the chiral chemical potential on the chiral phase transition in the NJL model with different regularization schemes
• An effective QCD Lagrangian in the presence of an axial chemical potential
• Chiral Symmetry Breaking in the Nambu-Jona-Lasinio Model in External Constant Electromagnetic Field
• Quark Matter in a Parallel Electric and Magnetic Field Background: Chiral Phase Transition and Equilibration of Chiral Density
• Inverse Magnetic Catalysis in the three-flavor NJL model with axial-vector interaction
• Numerical evidence of the axial magnetic effect
• Polyakov Loop and Gluon Quasiparticles in Yang-Mills Thermodynamics
• Dynamics of the Chiral Magnetic Effect in a weak magnetic field
• Electromagnetic triangle anomaly and neutral pion condensation in QCD vacuum
• Trace Anomaly and Quasi-Particles in Finite Temperature SU(N) Gauge Theory
• Chiral Heat Wave and mixing of Magnetic, Vortical and Heat waves in chiral media
• Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials
• Polyakov loop and gluon quasiparticles: a self-consistent approach to Yang-Mills thermodynamics
• Thermodynamics of the Quark-Gluon Plasma in Terms of Quasiparticles and Polyakov Line Condensates
• The masses of vector mesons in holographic QCD at finite chiral chemical potential

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