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arXiv · 0911.1852

Evaluation of Israel-Stewart parameters in lattice gauge theory

Yasuhiro Kohno·Masayuki Asakawa·Masakiyo Kitazawa·Chiho Nonaka
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Abstract

Navier-Stokes equations are known as hydrodynamic equations which take account of effects of dissipations. There are, however, problems in the relativistic Navier-Stokes equations, i.e. the equations violate causality. Israel-Stewart equations, which evade the problems of Navier-Stokes equations by introducing new parameters, such as the relaxation times, have recently been used in describing the space-time evolution of the quark-gluon plasma produced in high energy heavy ion collisions. The viscosities and the relaxation times are related to each other by imposing entropy constraints on the system. According to Boltzmann-Einstein principle, the probability distribution of the fluctuation in the energy-momentum tensor is related to the entropy of the system. Applying this principle to the entropy in Israel-Stewart theory, one can obtain the ratios of the viscosities to the relaxation times. We evaluate the ratios of the viscosities to the relaxation times in SU(3) lattice gauge theory.

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Yasuhiro Kohno, Masayuki Asakawa, Masakiyo Kitazawa, Chiho Nonaka. 2009-11-10. Evaluation of Israel-Stewart parameters in lattice gauge theory. https://arxiv.org/abs/0911.1852

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