A Note on Holography and Phase Transitions

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...

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Main Authors: Marc Bellon, Enrique F. Moreno, Fidel A. Schaposnik
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2011/917127
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author Marc Bellon
Enrique F. Moreno
Fidel A. Schaposnik
author_facet Marc Bellon
Enrique F. Moreno
Fidel A. Schaposnik
author_sort Marc Bellon
collection DOAJ
description 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.
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spelling doaj-art-382689c57be548acb264243d5bc4f4152025-02-03T01:32:58ZengWileyAdvances in High Energy Physics1687-73571687-73652011-01-01201110.1155/2011/917127917127A Note on Holography and Phase TransitionsMarc Bellon0Enrique F. Moreno1Fidel A. Schaposnik2UPMC Paris 06, UMR 7589, LPTHE, 75005 Paris, FranceDepartment of Physics, Northeastern University, Boston, MA 02115, USADepartamento de Física, Universidad Nacional de La Plata, C.C. 67, 1900 La Plata, ArgentinaFocusing 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.http://dx.doi.org/10.1155/2011/917127
spellingShingle Marc Bellon
Enrique F. Moreno
Fidel A. Schaposnik
A Note on Holography and Phase Transitions
Advances in High Energy Physics
title A Note on Holography and Phase Transitions
title_full A Note on Holography and Phase Transitions
title_fullStr A Note on Holography and Phase Transitions
title_full_unstemmed A Note on Holography and Phase Transitions
title_short A Note on Holography and Phase Transitions
title_sort note on holography and phase transitions
url http://dx.doi.org/10.1155/2011/917127
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