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Vector Condensate and AdS Soliton Instability Induced by a Magnetic Field

2013/11/30 by Rong-Gen Cai, Li Li, Li-Fang Li +1
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep01(2014)045

published as JHEP 1401 (2014) 045 · v2: minor changes, to appear in JHEP. arXiv admin note: text overlap with arXiv:1309.2098

arxiv created 2014/01/08 · arxiv updated 2014/01/27

Abstract

We continue to study the holographic p-wave superconductor model in the Einstein-Maxwell-complex vector field theory with a non-minimal coupling between the complex vector field and the Maxwell field. In this paper we work in the AdS soliton background which describes a conformal field theory in the confined phase and focus on the probe approximation. We find that an applied magnetic field can lead to the condensate of the vector field and the AdS soliton instability. As a result, a vortex lattice structure forms in the spatial directions perpendicular to the applied magnetic field. As a comparison, we also discuss the vector condensate in the Einstein-SU(2) Yang-Mills theory and find that in the setup of the present paper, the Einstein-Maxwell-complex vector field model is a generalization of the SU(2) model in the sense that the vector field has a general mass and gyromagnetic ratio.

Citations