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Viscosity of pure-glue QCD from the lattice

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arxiv 2211.08230 v2 pith:KYXEHCRS submitted 2022-11-15 hep-lat hep-ph

Viscosity of pure-glue QCD from the lattice

classification hep-lat hep-ph
keywords viscositycorrelatorslatticebulkflowshearviscositiesapplying
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We calculate shear viscosity and bulk viscosity in SU(3) gauge theory on the lattice at $1.5 \,T_c$. The viscosities are extracted via a Kubo formula from the reconstructed spectral function which we determine from the Euclidean-time dependence of the corresponding channel of the energy-momentum tensor correlators. We obtain unprecedented precision for the correlators by applying gradient flow and blocking methods. The correlators are extrapolated to the continuum and then to zero flow time. To extract the viscosities we fit theoretically inspired models to the lattice data and crosscheck the fit results using the Backus Gilbert method. The final estimates for shear and bulk viscosity are $\eta/s = 0.15-0.48$ and $\zeta/s = 0.017-0.059$.

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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. Tensor Decomposition for Energy-Momentum Correlation Functions

    hep-ph 2026-06 unverdicted novelty 3.0

    Energy-momentum tensor correlator is reduced to fewer spectral functions via rotational symmetry decomposition and conservation-derived differential relations at zero and finite temperature.