Exotic Holographic Dispersion

TL;DR

This paper uses holographic duality with Reissner-Nordstrom black holes to derive exotic, dissipative dispersion relations for plasmon and quasinormal modes in strongly interacting systems, revealing higher order correction insights.

Contribution

It introduces novel dispersion relations for modes in holographic models, highlighting dissipative behavior and potential for predicting higher order effects in strongly coupled physics.

Findings

Exotic dispersion relations for plasmon and quasinormal modes.

Dissipative behavior consistent with quantum dissipation models.

Insights into higher order corrections in strongly coupled systems.

Abstract

For strongly interacting systems holographic duality is a powerful framework for computing e.g. dispersion relations to all orders in perturbation theory. Using the standard Reissner-Nordst\"om black hole as a holographic model for a (strange) metal, we obtain exotic dispersion relations for both plasmon modes and quasinormal modes for certain intermediate values of the charge of the black hole. The obtained dispersion relations show dissipative behavior which we compare to the generic expectations from the Caldeira-Leggett model for quantum dissipation. Based on these considerations, we investigate how holography can predict higher order corrections for strongly coupled physics.