Equation of state and viscosities from a gravity dual of the gluon plasma
R. Yaresko (Helmholtz-Zentrum Dresden-Rossendorf, Dresden, Germany, TU Dresden, Institut für Theoretische Physik, Dresden, Germany); B. Kämpfer (Helmholtz-Zentrum Dresden-Rossendorf, Dresden, Germany, TU Dresden, Institut für Theoretische Physik, Dresden, Germany)
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 within a bottom-up approach. The ratio of bulk viscosity to shear viscosity follows then as for and achieves a maximum value of 0.94 at , where is the non-conformality measure and is the velocity of sound squared, while the ratio of shear viscosity to entropy density is known as for the considered set-up with Hilbert action on the gravity side.