Dolan, Brian P. (2014) Bose condensation and branes. Journal of High Energy Physics, 179. pp. 1-7. ISSN 1029-8479

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Abstract

When the cosmological constant is considered to be a thermodynamical variable in black hole thermodynamics, analogous to a pressure, its conjugate variable can be thought of as a thermodynamic volume for the black hole. In the AdS/CFT correspondence this interpretation cannot be applied to the CFT on the boundary but, from the point of view of the boundary SU(N) gauge theory, varying the cosmological constant in the bulk is equivalent to varying the number of colors in the gauge theory. This interpretation is examined in the case of AdS5 × S5, for N = 4 SUSY Yang-Mills at large N, and the variable thermodynamically conjugate to N, a chemical potential for color, is determined. It is shown that the chemical potential in the high temperature phase of the Yang-Mills theory is negative and decreases as temperature increases, as expected. For spherical black holes in the bulk the chemical potential approaches zero as the temperature is lowered below the Hawking-Page temperature and changes sign at a temperature that is within one part in a thousand of the temperature at which the heat capacity diverges

Item Type:	Article
Additional Information:	This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Keywords:	Black Holes in String Theory; AdS-CFT Correspondence; Black Holes;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	5811
Identification Number:	https://doi.org/10.1007/JHEP10(2014)179
Depositing User:	Dr. Brian Dolan
Date Deposited:	11 Feb 2015 15:08
Journal or Publication Title:	Journal of High Energy Physics
Publisher:	Springer (for SISSA)
Refereed:	Yes
URI:
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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