Holography and Thermodynamics of 5D Dilaton-gravity

U. Gursoy , E. Kiritsis (1, 2) , L. Mazzanti (3) , F. Nitti (4)

1 Department of Physics [Heraklion]
2 APC (UMR_7164) - AstroParticule et Cosmologie
3 CPHT - Centre de Physique Théorique [Palaiseau]
4 APC - THEORIE

The asymptotically-logarithmically-AdS black-hole solutions of 5D dilaton gravity with a monotonic dilaton potential are analyzed in detail. Such theories are holographically very close to pure Yang-Mills theory in four dimensions. The existence and uniqueness of black-hole solutions is shown. It is also shown that a Hawking-Page transition exists at finite temperature if and only if the potential corresponds to a confining theory. The physics of the transition matches in detail with that of deconfinement of the Yang-Mills theory. The high-temperature phase asymptotes to a free gluon gas at high temperature matching the expected behavior from asymptotic freedom. The thermal gluon condensate is calculated and shown to be crucial for the existence of a non-trivial deconfining transition. The condensate of the topological charge is shown to vanish in the deconfined phase.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Phénoménologie [hep-ph]; Physique des Hautes Energies - Théorie [hep-th]

U. Gursoy, E. Kiritsis, L. Mazzanti, F. Nitti. Holography and Thermodynamics of 5D Dilaton-gravity. Journal of High Energy Physics, 2009, 05, pp.033. ⟨10.1088/1126-6708/2009/05/033⟩. ⟨hal-00713151⟩