Holography and Thermodynamics of 5D Dilaton-gravity
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.
Keywords
Cite
@article{arxiv.0812.0792,
title = {Holography and Thermodynamics of 5D Dilaton-gravity},
author = {U. Gursoy and E. Kiritsis and L. Mazzanti and F. Nitti},
journal= {arXiv preprint arXiv:0812.0792},
year = {2011}
}
Comments
LaTeX, 61 pages (main body) + 58 pages (appendix), 25 eps figures. Revised version, published in JHEP. Two equations added in Section 7.4; typos corrected; references added