Thermodynamics of the strongly interacting gluon plasma in the large-N limit

Abstract

We report on our recent study of equilibrium thermodynamic observables in SU(N) gauge theories with N=3, 4, 5, 6 and 8 colors at temperatures T in the range from 0.8 T_c to 3.4 T_c (where T_c denotes the critical deconfinement temperature). The results, which show a very weak dependence on the number of colors, are compared with gauge/gravity models of the QCD plasma, including the improved holographic QCD model proposed by Kiritsis and collaborators, and with the supergravity prediction for the entropy density deficit. Furthermore, we investigate the possibility that the trace anomaly may receive contributions proportional to T^2 at temperatures close to T_c. Finally, we present the extrapolated results for the pressure, trace anomaly, energy and entropy densities in the limit for N going to infinity.

Comments: 7 pages, 8 eps figures, presented at the XXVII International Symposium on Lattice Field Theory, July 26-31 2009, Peking University, Beijing, China; v2: added references