Shear and bulk viscous coefficients of a hot and chirally imbalanced quark matter using NJL model

Abstract

The shear $\eta$ and bulk $\zeta$ viscous coefficients have been calculated in a hot and chirally asymmetric quark matter quantified in terms of a chiral chemical potential (CCP) using the two-flavor Nambu-Jona--Lasinio (NJL) model. This is done by employing the one-loop Green-Kubo formalism where the viscous coefficients have been extracted from the long-wavelength limit of the in-medium spectral function corresponding to the energy momentum tensor (EMT) current correlator calculated using the real time formalism of finite temperature field theory. The momentum dependent thermal width of the quark/antiquark that enters into the expression of the viscosities as a dynamical input containing interactions, has been obtained from the $2\to 2$ scattering processes mediated via the collective mesonic modes in scalar and pseudoscalar chanels encoded in respective in-medium polarization functions having explicit temperature and CCP dependence. Several thermodynamic quantities such as pressure, energy density, entropy density $(s)$, specific heat and isentropic speed of sound have also been calculated at finite CCP. The temperature and CCP dependence of the viscosity to entropy density ratios $\eta /s$ and $\zeta /s$ have also been studied.

arXiv commentVersion published in Physical Review D

References in corpus (36)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Hydrodynamics with Triangle Anomalies
• The QCD phase diagram for external magnetic fields
• Chiral Magnetic conductivity
• Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
• Chiral Plasma Instabilities
• Chiral magnetic effect in the PNJL model
• The Sphaleron Rate in SU(N) Gauge Theory
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• Kubo formulas for relativistic fluids in strong magnetic fields
• Transport coefficients near chiral phase transition
• Hot Quark Matter with an Axial Chemical Potential
• Study of QCD Phase Diagram with Non-Zero Chiral Chemical Potential
• Phase diagram of chirally imbalanced QCD matter
• 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
• Quark Matter in a Parallel Electric and Magnetic Field Background: Chiral Phase Transition and Equilibration of Chiral Density
• Shear and Bulk Viscosities of Quark Matter from Quark-Meson Fluctuations in the Nambu--Jona-Lasinio model
• Elastic Scattering and Transport Coefficients for a Quark Plasma in $S{U}_f(3)$ at Finite Temperatures
• Critical Temperature of Chiral Symmetry Restoration for Quark Matter with a Chiral Chemical Potential
• Chemical potentials and parity breaking: the Nambu-Jona-Lasinio model
• Shear viscosity from Kubo formalism: NJL-model study
• Inhomogeneous chiral condensates in three-flavor quark matter
• Transport coefficients of two-flavor quark matter from the Kubo formalism
• Chiral Relaxation Time at the Crossover of Quantum Chromodynamics
• Topological susceptibility, divergent chiral density and phase diagram of chirally imbalanced QCD medium at finite temperature
• Shear Viscosity of Quark Matter
• Shear viscosity of the quark matter
• Measuring chiral imbalance with collisional energy loss
• Damping rate of a fermion in ultradegenerate chiral matter
• Deconfinement and chiral phase transitions in quark matter with chiral imbalance
• Dilepton production from chirally asymmetric matter
• The mass and spectral function of scalar and pseudoscalar mesons in a hot and chirally imbalanced medium using the two-flavor NJL model
• Effect of chiral imbalance on the electrical conductivity of hot and dense quark matter using Green-Kubo Method within the 2-flavour gauged NJL model