Low-temperature behavior of the Abelian Higgs model in anti-de Sitter space

Details Low-temperature behavior of the Abelian Higgs model in anti-de Sitter space Low-temperature behavior of the Abelian Higgs model in anti-de Sitter space

2008-10-27

arxiv.org/abs/0810.4554v2

JHEP 0904:008,2009

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 3 figures. v2: corrected minor errors

Scientific paper

10.1088/1126-6708/2009/04/008

We explore the low-temperature behavior of the Abelian Higgs model in AdS_4, away from the probe limit in which back-reaction of matter fields on the metric can be neglected. Over a significant range of charges for the complex scalar, we observe a second order phase transition at finite temperature. The symmetry-breaking states are superconducting black holes. At least when the charge of the scalar is not too small, we observe at low temperatures the emergence of a domain wall structure characterized by a definite index of refraction. We also compute the conductivity as a function of frequency.

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