Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-12-10
Physics
High Energy Physics
High Energy Physics - Lattice
To appear in the proceedigns of 28th International Symposium on Lattice Field Theory (Lattice 2010), Sardinia, Italy, 14-19 Ju
Scientific paper
Transport coefficients of causal dissipative relativistic fluid dynamics (CDR) are studied in quenched lattice simulations. CDR describes the behavior of relativistic non-Newtonian fluids in which the relaxation time appears as a new transport coefficient besides the shear and bulk viscosities. It was recently shown that these coefficients can be given by the temporal-correlation functions of the energy-momentum tensors as in the case of the Green-Kubo-Nakano formula. By using the new formula in CDR, we study the transport coefficients with lattice simulations in pure SU(3) gauge theory. After defining the energy-momentum tensor on the lattice, we extract a ratio of the shear viscosity to the relaxation time which is given only in terms of the static correlation functions. The simulations are performed on $24^3 \times 4$--16 lattices with $\beta_{_{\rm LAT}} = 6.0$, which corresponds to the temperature range of $0.5 \simle T/T_c \simle 1.8$, where $T_c$ is the critical temperature.
Abuki Hiroaki
Hatsuda Tetsuo
Koide Tomoi
Maezawa Yuu
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