Viscosity of pure-glue QCD from the lattice

Abstract

We calculate shear viscosity and bulk viscosity in SU(3) gauge theory on the lattice at $1.5T_c$. 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 $\zeta /s=0.017-0.059$.

16 pages, 12 figures, published version

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• Short-flow-time expansion of quark bilinears through next-to-next-to-leading order QCD
• Real-time correlators in 3+1D thermal lattice gauge theory
• Shear and bulk viscosity for a pure glue theory using an effective matrix model
• Shear and bulk viscosities of the gluon plasma across the transition temperature from lattice QCD
• Impact of spin polarization on transport and thermodynamic coefficients
• A generalized definition of the isothermal compressibility in (2+1)-flavor QCD