Equation of State and Viscosities from a Gravity Dual of the Gluon Plasma


Equation of State and Viscosities from a Gravity Dual of the Gluon Plasma

Yaresko, R.; Kämpfer, B.

.Employing new precision data of the equation of state of the SU(3) Yang-Mills theory (gluon plasma) the dilaton potential of the gravity dual is adjusted in the temperature range (1 - 10) T_c in a bottom-up approach. The ratio of bulk viscosity to shear viscosity follows then as zeta/eta approx\pi Delta v_s^2 for Delta v_s^2 < 0.2 and achieves a maximum value of 0.95 at Delta v_s^2 approx 0.32, where Delta v_s^2 is the non-conformality measure, while the ratio of shear viscosity to entropy density is known as (4 \pi)^{-1} for the considered special set-up with Hilbert action on the gravity side.

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