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Transport Coefficients in Yang--Mills Theory and QCD

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arxiv 1411.7986 v1 pith:GRY56O4C submitted 2014-11-28 hep-ph hep-thnucl-th

Transport Coefficients in Yang--Mills Theory and QCD

classification hep-ph hep-thnucl-th
keywords formulatemperaturetheoryyang--millsanalyticcalculatecoefficientsconsistent
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We calculate the shear viscosity over entropy density ratio $\eta/s$ in Yang--Mills theory from the Kubo formula using an exact diagrammatic representation in terms of full propagators and vertices using gluon spectral functions as external input. We provide an analytic fit formula for the temperature dependence of $\eta/s$ over the whole temperature range from a glueball resonance gas at low temperatures, to a high-temperature regime consistent with perturbative results. Subsequently we provide a first estimate for $\eta/s$ in QCD.

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Cited by 3 Pith papers

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  1. Shear and bulk viscosities of the gluon plasma across the transition temperature from lattice QCD

    hep-lat 2026-01 conditional novelty 6.0

    Lattice QCD results show the shear viscosity to entropy density ratio of gluon plasma reaches a minimum near the transition temperature Tc while the bulk viscosity to entropy density ratio decreases monotonically from...

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

    hep-ph 2025-07 unverdicted novelty 6.0

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

  3. A beginner's guide to functional methods in particle physics

    hep-ph 2025-10 accept novelty 1.0

    A pedagogical review showing how Dyson-Schwinger, 3PI, and Bethe-Salpeter equations can be chained together to compute glueball masses in pure Yang-Mills theory, matching lattice QCD.