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Shear Viscosities from Kubo Formalism in a large-$N_{\rm c}$ Nambu--Jona-Lasinio Model

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arxiv 1506.02459 v2 pith:P4RRUSJI submitted 2015-06-08 hep-ph

classification hep-ph
keywords shearchemicalfunctionkubomodelnambu--jona-lasiniopotentialresults
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abstract

In this work the shear viscosity of strongly interacting matter is calculated within a two-flavor Nambu--Jona-Lasinio model as a function of temperature and chemical potential. The general Kubo formula is applied, incorporating the full Dirac structure of the thermal quark spectral function and avoiding commonly used on-shell approximations. Mesonic fluctuations contributing via Fock diagrams provide the dominant dissipative processes. The resulting ratio $\eta/s$ (shear viscosity over entropy density) decreases with temperature and chemical potential. Interpolating between our NJL results at low temperatures and hard-thermal-loop results at high temperatures a minimum slightly above the AdS/CFT benchmark $\eta/s=1/4\pi$ is obtained.

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Cited by 3 Pith papers

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  1. Effective QCD model with consistent quasi-gluon treatment : formulation and application

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    Reformulation of the PNJL model with gluon quasi-particles treated beyond saddle-point approximation to yield a consistent quasiparticle description of QCD thermodynamics.

  2. 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

    hep-ph 2024-11 conditional novelty 5.0 of 10

    Electrical conductivity to temperature ratio in quark matter decreases with increasing chiral chemical potential in the NJL model, most strongly at low temperature.

  3. From Non-interacting to Interacting Picture of Thermodynamics and Transport Coefficients for Quark Gluon Plasma

    hep-ph 2019-08 conditional novelty 3.0 of 10

    Three temperature dependent quasi-particle parameterizations fitted to LQCD entropy density all reduce transport coefficients, but only the thermal width model lowers eta/s.

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