Low-temperature behavior of the Abelian Higgs model in anti-de Sitter space
High Energy Physics - Theory
2009-04-17 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0810.4554,
title = {Low-temperature behavior of the Abelian Higgs model in anti-de Sitter space},
author = {Steven S. Gubser and Abhinav Nellore},
journal= {arXiv preprint arXiv:0810.4554},
year = {2009}
}
Comments
17 pages, 3 figures. v2: corrected minor errors