Non-Equilibrium Field Dynamics of an Honest Holographic Superconductor

Details Non-Equilibrium Field Dynamics of an Honest Holographic Superconductor Non-Equilibrium Field Dynamics of an Honest Holographic Superconductor

2012-04-13

arxiv.org/abs/1204.3103v1

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 11 figures

Scientific paper

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.

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