5D dilaton–gravity and gluon plasma thermodynamics

Abstract

I will describe black–hole solutions in five–dimensional gravity with a self–interacting scalar field. The geometry is asymptotically logarithmically anti–de Sitter in the UV. A phase transition occurs if an only if the IR behavior of the dilaton potential is associated to a confining gauge theory. The transition is holographically dual to the confining/deconfining phase transition of a 4d theory closely matching pure Yang–Mills, both at zero and finite temperature. The trace anomaly equation is reproduced in the gravity picture, as a check of the duality.