Non-Equilibrium Field Dynamics of an Honest Holographic Superconductor
Abstract
Most holographic models of superconducting systems neglect the effects of dynamical boundary gauge fields during the process of spontaneous symmetry-breaking. Usually a global symmetry gets broken. This yields a superfluid, which then is gauged "weakly" afterwards. In this work we build (and probe the dynamics of) a holographic model in which a local boundary symmetry is spontaneously broken instead. We compute two-point functions of dynamical non-Abelian gauge fields in the normal and in the broken phase, and find non-trivial gapless modes. Our AdS3 gravity dual realizes a p-wave superconductor in (1+1) dimensions. The ground state of this model also breaks (1+1)-dimensional parity spontaneously, while the Hamiltonian is parity-invariant. We discuss possible implications of our results for a wider class of holographic liquids.
Keywords
Cite
@article{arxiv.1204.3103,
title = {Non-Equilibrium Field Dynamics of an Honest Holographic Superconductor},
author = {Xin Gao and Matthias Kaminski and Hua-Bi Zeng and Hai-Qing Zhang},
journal= {arXiv preprint arXiv:1204.3103},
year = {2015}
}
Comments
32 pages, 12 figures; v3: string theory derivation of setup added (section 3.1), improved presentation, version accepted by JHEP; v2: paragraph added to discussion, figure added, references added, typos corrected