Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1088/1126-6708/2009/05/033
Keywords
Gauge-gravity correspondence; Black Holes
Categories
Funding
- ANR [NT05-1-41861]
- RTN [MRTN-CT-2004-005104, MRTN-CT-2004-503369]
- CNRS PICS [3059, 3747]
- Marie Curie Intra-European Fellowships [MEIF-CT-2006-039962, MEIF-CT2006-039369]
- VIDI [016.069.313]
- Dutch Organisation for Scientific Research (NWO)
- CPHT
- Ecole Polytechnique [7644]
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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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