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Holography and thermodynamics of 5D dilaton-gravity

2009; Springer Nature; Volume: 2009; Issue: 05 Linguagem: Inglês

10.1088/1126-6708/2009/05/033

1127-2236

Umut Gürsoy, Elias Kiritsis, Liuba Mazzanti, Francesco Saverio Nitti,

Noncommutative and Quantum Gravity Theories

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.