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arXiv · 0812.0792

Holography and Thermodynamics of 5D Dilaton-gravity

U. Gursoy·E. Kiritsis·L. Mazzanti·F. Nitti
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Abstract

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.

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U. Gursoy, E. Kiritsis, L. Mazzanti, F. Nitti. 2009-05-08. Holography and Thermodynamics of 5D Dilaton-gravity. https://doi.org/10.1088/1126-6708%2F2009%2F05%2F033

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