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Main Authors: Amoretti, Andrea, Brattan, Daniel K., Rongen, Jonas
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.19694
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author Amoretti, Andrea
Brattan, Daniel K.
Rongen, Jonas
author_facet Amoretti, Andrea
Brattan, Daniel K.
Rongen, Jonas
contents We consider the problem of writing an effective, linearised theory in small derivatives that reproduces the Mittag-Leffler expansion of a charge current correlator with an arbitrary number of simple poles. We demonstrate how such a framework: can be compatible with hydrostaticity without modification of thermodynamics, properly accounts for the differing notions of smallness in time and space derivatives including setting the lowest order effective equation of motion, and corrects the effective equations in derivatives. As an application, we apply the results to charge fluctuations of the D3/D5 probe brane and quantify how the transport coefficients behave when quasihydrodynamics emerges at large charge density.
format Preprint
id arxiv_https___arxiv_org_abs_2512_19694
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Linear response beyond hydrodynamic poles
Amoretti, Andrea
Brattan, Daniel K.
Rongen, Jonas
High Energy Physics - Theory
We consider the problem of writing an effective, linearised theory in small derivatives that reproduces the Mittag-Leffler expansion of a charge current correlator with an arbitrary number of simple poles. We demonstrate how such a framework: can be compatible with hydrostaticity without modification of thermodynamics, properly accounts for the differing notions of smallness in time and space derivatives including setting the lowest order effective equation of motion, and corrects the effective equations in derivatives. As an application, we apply the results to charge fluctuations of the D3/D5 probe brane and quantify how the transport coefficients behave when quasihydrodynamics emerges at large charge density.
title Linear response beyond hydrodynamic poles
topic High Energy Physics - Theory
url https://arxiv.org/abs/2512.19694