Shear viscosity to relaxation time ratio in SU(3) lattice gauge theory

2011/12/07 by Yasuhiro Kohno, Kohno, Yasuhiro, Masayuki Asakawa +3 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1112.1508

openalex publication_date 2011/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We evaluate the ratio of the shear viscosity to the relaxation time of the shear flux above but near the critical temperature T_c in SU(3) gauge theory on the lattice. The ratio is related to Kubo's canonical correlation of the energy-momentum tensor in Euclidean space with the relaxation time approximation and an appropriate regularization. Using this relation, the ratio is evaluated by direct measurements of the Euclidean observables on the lattice. We obtained the ratio with reasonable statistics for the range of temperature 1.3T_c \lesssim T \lesssim 4T_c. We also found that the characteristic speed of the transverse plane wave in gluon media is almost constant, v ≃ 0.5, for T \gtrsim 1.5T_c, which is compatible with the causality in the second order dissipative hydrodynamics.

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• Thermodynamics of strong-interaction matter from Lattice QCD

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