2008/10/31 by Steven S. Gubser, Steven S Gubser, Abhinav Nellore · 65 citations
Physics and Astronomy · #Abelian group #Anti-de Sitter space #Black Holes and Theoretical Physics #Critical phenomena #Higgs boson #Limit (mathematics) #Metric (unit) #Phase transition #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Scalar (mathematics) #Space (punctuation) #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/04/008
published in Journal of High Energy Physics 2009(04), 008 (Springer Nature) · 17 pages, 3 figures. v2: corrected minor errors
arxiv created 2009/01/26 · openalex publication_date 2009/04/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We explore the low-temperature behavior of the Abelian Higgs model in AdS4, 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.