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Advances in High Energy Physics
Volume 2011 (2011), Article ID 917127, 17 pages
http://dx.doi.org/10.1155/2011/917127
Research Article

A Note on Holography and Phase Transitions

1UPMC Paris 06, UMR 7589, LPTHE, 75005 Paris, France
2CNRS, UMR 7589, LPTHE, 75005 Paris, France
3Department of Physics, Northeastern University, Boston, MA 02115, USA
4Departamento de Física, Universidad Nacional de La Plata, C.C. 67, 1900 La Plata, Argentina

Received 23 February 2011; Revised 18 June 2011; Accepted 1 July 2011

Academic Editor: Anastasios Petkou

Copyright © 2011 Marc Bellon et al. 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.

Abstract

Focusing on the connection between the Landau theory of second-order phase transitions and the holographic approach to critical phenomena, we study diverse field theories in an anti de Sitter black hole background. Through simple analytical approximations, solutions to the equations of motion can be obtained in closed form which give rather good approximations of the results obtained using more involved numerical methods. The agreement we find stems from rather elementary considerations on perturbation of Schrödinger equations.