A Note on Holography and Phase Transitions

Details A Note on Holography and Phase Transitions A Note on Holography and Phase Transitions

2010-12-20

arxiv.org/abs/1012.4496v2

Advances in High Energy Physics Volume 2011 (2011), Article ID 917127, 17 pages

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 2 figures. Version published in Advances in High Energy Physics

Scientific paper

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 Schr\"odinger equations.

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