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Shear viscosity from Kubo formalism: NJL-model study

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arxiv 1311.4628 v2 pith:TXFFO7KJ submitted 2013-11-19 hep-ph

classification hep-ph
keywords dependenceformalismkubomodelshearspectralthermalviscosity
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abstract

A large-$N_{\rm c}$ expansion is combined with the Kubo formalism to study the shear viscosity $\eta$ of strongly interacting matter in the two-flavor NJL model. We discuss analytical and numerical approaches to $\eta$ and investigate systematically its strong dependence on the spectral width and the momentum-space cutoff. Thermal effects on the constituent quark mass from spontaneous chiral symmetry breaking are included. The ratio $\eta/s$ and its thermal dependence are derived for different parameterizations of the spectral width and for an explicit one-loop calculation including mesonic modes within the NJL model.

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Cited by 4 Pith papers

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  1. Analytic structure of stress-energy response functions and new Kubo formulae

    hep-ph 2025-07 unverdicted novelty 6.0 of 10

    Authors derive new Kubo formulae for transport coefficients by analyzing analytic structures of stress-energy response functions in second- and third-order hydrodynamics.

  2. 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.

  3. 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.

  4. 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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