An Analytic Analysis of Phase Transitions in Holographic Superconductors

Details An Analytic Analysis of Phase Transitions in Holographic Superconductors An Analytic Analysis of Phase Transitions in Holographic Superconductors

2011-03-26

arxiv.org/abs/1103.5130v2

Prog. Theor. Phys. 126 (2011), 387-395

Physics

High Energy Physics

High Energy Physics - Theory

9 pages; revised version to appear in PTP

Scientific paper

10.1143/PTP.126.387

Using a simple analytic approach, we study the universal properties of second-order phase transition in holographic superconductor models. We explore a general model in arbitrary dimensions in which the condensation occurs via the St\"uckelberg spontaneous symmetry breaking mechanism. All the possible second-order phase transitions and their universal characteristics can be identified analytically. The relationship between the critical temperature and charge density is generic, and the critical exponents can be greater than the typical mean field value 1/2. In addition, the related numerical factors can also be computed qualitatively.

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