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Advances in High Energy Physics
Volume 2014, Article ID 565219, 12 pages
http://dx.doi.org/10.1155/2014/565219
Research Article

Holographic Renormalization in Dense Medium

Institute for the Early Universe, Ewha Womans University, Daehyun 11-1, Seoul 120-750, Republic of Korea

Received 26 May 2014; Revised 15 August 2014; Accepted 21 August 2014; Published 2 September 2014

Academic Editor: Kadayam S. Viswanathan

Copyright © 2014 Chanyong Park. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

The holographic renormalization of a charged black brane with or without a dilaton field, whose dual field theory describes a dense medium at finite temperature, is investigated in this paper. In a dense medium, two different thermodynamic descriptions are possible due to an additional conserved charge. These two different thermodynamic ensembles are classified by the asymptotic boundary condition of the bulk gauge field. It is also shown that in the holographic renormalization regularity of all bulk fields can reproduce consistent thermodynamic quantities and that the Bekenstein-Hawking entropy is nothing but the renormalized thermal entropy of the dual field theory. Furthermore, we find that the Reissner-Nordström AdS black brane is dual to a theory with conformal matter as expected, whereas a charged black brane with a nontrivial dilaton profile is mapped to a theory with nonconformal matter although its leading asymptotic geometry still remains as AdS space.