Shear and Bulk Viscosities of Quark Matter from Quark-Meson Fluctuations in the Nambu--Jona-Lasinio model

Abstract

We have calculated the temperature dependence of shear $\eta$ and bulk $\zeta$ viscosities of quark matter due to quark-meson fluctuations. The quark thermal width originating from quantum fluctuations of quark-$\pi$ and quark-$\sigma$ loops at finite temperature is calculated with the formalism of real-time thermal field theory. Temperature-dependent constituent-quark and meson masses, and quark-meson couplings are obtained in the Nambu--Jona-Lasinio model. We found a non-trivial influence of the temperature-dependent masses and couplings on the Landau-cut structure of the quark self-energy. Our results for the ratios $\eta /s$ and $\zeta /s$, where $s$ is the entropy density (also determined in the Nambu--Jona-Lasinio model in the quasi-particle approximation), are in fair agreement with results of the literature obtained from different models and techniques. In particular, our result for $\eta /s$ has a minimum very close to the conjectured AdS/CFT lower bound, $\eta /s=1/4\pi$.

10 pages, 11 figures

References in corpus (31)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The equation of state in (2+1)-flavor QCD
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• A calculation of the bulk viscosity in SU(3) gluodynamics
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• Multiplicity scaling in ideal and viscous hydrodynamics
• Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
• Bulk viscosity of QCD matter near the critical temperature
• Perturbative QCD Calculations of Elliptic Flow and Shear Viscosity in Au+Au Collisions at $\sqrt{s_{NN}}=200$ GeV
• Bulk viscosity in quasi particle models
• Origins of Bulk Viscosity at RHIC
• Scalings of Elliptic Flow for a Fluid at Finite Shear Viscosity
• Shear viscosity of a hadronic gas mixture
• Elliptic flow of gluon matter in ultrarelativistic heavy-ion collisions
• Thermodynamic Properties of Strongly Interacting Matter in a Finite Volume using the Polyakov-Nambu-Jona-Lasinio model
• QCD Viscosity to Entropy Density Ratio in the Hadronic Phase
• Dissipative properties of hot and dense hadronic matter in excluded volume hadron resonance gas model
• Bulk and shear viscosities of hot and dense hadron gas
• Shear Viscosity of a Hot Pion Gas
• A real-time thermal field theoretical analysis of Kubo-type shear viscosity : Numerical understanding with simple examples
• The nucleon thermal width due to pion-baryon loops and its contribution in Shear viscosity
• Comparison of results from a 2+1D relativistic viscous hydrodynamic model to elliptic and hexadecapole flow of charged hadrons measured in Au-Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV
• Shear Viscosity and Phase Diagram from Polyakov$-$Nambu$-$Jona-Lasinio model
• Effect of spectral modification of $\rho$ on shear viscosity of a pion gas
• Transport coefficients in Chiral Perturbation Theory
• Transport properties of a meson gas
• Medium effects on the relaxation of dissipative flows in a hot pion gas
• Minimum Shear Viscosity over Entropy Density at Phase Transition? --- A Counterexample
• Relativistic Nuclear Collisions
• $\eta (T)/s(T)$ and collective flow in chiral hydrodynamics

Cited by in corpus (40)

• Transport coefficients of a hot QCD medium and their relative significance in heavy-ion collisions
• Estimating transport coefficients in hot and dense quark matter
• Anisotropic electrical conductivity of magnetized hot quark matter
• Anomalous transport model study of chiral magnetic effects in heavy ion collisions
• Shear viscosity $\eta$ to electrical conductivity ${\sigma }_{el}$ ratio for an anisotropic QGP
• Impact of quark quasiparticles on transport coefficients in hot QCD
• Calculations of Shear, Bulk viscosities and Electrical conductivity in Polyakov-Quark-Meson model
• Study of chiral vortical and magnetic effects in the anomalous transport model
• Transport coefficients of two-flavor quark matter from the Kubo formalism
• Thermodynamic properties and transport coefficients of QCD matter within the non-extensive Polyakov-Nambu-Jona-Lasinio model
• Impact of magnetic field on shear viscosity of quark matter in Nambu-Jona-Lasinio model
• Quark Flavour Dependence of the Shear Viscosity in a Quasiparticle Model
• Dynamics of QCD Matter -- current status
• Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model
• Finite size effect of hadronic matter on its transport coefficients
• Temperature Effect on Shear and Bulk Viscosities of QCD Matter
• Inclusive and effective bulk viscosities in the hadron gas
• Thermodynamics of strongly interacting matter in a hybrid model
• Effect of time-varying electromagnetic field on Wiedemann-Franz law in a hot hadronic matter
• Phenomenological bound on the viscosity of the hadron resonance gas
• Transport responses from rate of decay and scattering processes in the Nambu--Jona-Lasinio model
• An estimate of the bulk viscosity of the hadronic medium
• Bulk viscosity for pion and nucleon thermal fluctuation in the hadron resonance gas model
• First order dissipative hydrodynamics and viscous corrections to the entropy four-current from an effective covariant kinetic theory
• Impact of different extended components of mean field models on transport coefficients of quark matter and their causal aspects
• Bulk viscosity of two-flavor quark matter from the Kubo formalism
• A comparative study on two different expressions of Bulk viscosity in the PNJL model
• Transport coefficients for multi-component gas of hadrons using Chapman Enskog method
• Charmed mesons at finite temperature and chemical potential
• Shear viscosity expression for a graphene system in relaxation time approximation
• Elliptic flow splittings in the Polyakov-looped Nambu-Jona Lasinio transport model
• Contribution of Kaon component in viscosity and conductivity of hadronic medium
• From Non-interacting to Interacting Picture of Thermodynamics and Transport Coefficients for Quark Gluon Plasma
• Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude
• Bulk Viscosity of Hot Quark Plasma from Non-Equilibrium Statistical Operator
• Deformations of the AdS-Schwarzschild black brane and the shear viscosity of the quark-gluon plasma
• 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
• Shear and bulk viscous coefficients of a hot and chirally imbalanced quark matter using NJL model
• Possibility of quantum Hall effect in dense quark matter environments: A chiral model approach
• Thermoelectric coefficients of two-flavor quark matter from the Kubo formalism