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

2013/06/02 by Yaresko, R., Kampfer, B.
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.1306.0214

Abstract

Employing new precision data of the equation of state of the SU(3) Yang-Mills theory (gluon plasma) the dilaton potential of a gravity-dual model is adjusted in the temperature range (1 - 10) T_c within a bottom-up approach. The ratio of bulk viscosity to shear viscosity follows then as ζ/η≈ πΔv_s² for Δv_s² < 0.2 and achieves a maximum value of 0.94 at Δv_s² ≈ 0.3, where Δv_s² ≡ 1/3 - v_s² is the non-conformality measure and v_s² is the velocity of sound squared, while the ratio of shear viscosity to entropy density is known as (4 π)^-1 for the considered set-up with Hilbert action on the gravity side.

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