A Note on Holography and Phase Transitions

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.

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

References in corpus (8)

• Holographic Superconductors with Various Condensates
• Colorful horizons with charge in anti-de Sitter space
• A Holographic Superconductor in an External Magnetic Field
• An Analytic Holographic Superconductor
• Quantum phase transitions in holographic models of magnetism and superconductors
• Holographic phase transition from dyons in an AdS black hole background
• Holography and $Ad{S}_4$ self-gravitating dyons
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Cited by in corpus (1)

• Fermions in an AdS3 Black Hole Background and the Gauge-Gravity Duality