Non-equilibrium charge-vortex duality

Fuente: arXiv
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Autori principali: Tsaloukidis, Lazaros, Peña-Benítez, Francisco, Surówka, Piotr
Natura: Preprint
Pubblicazione: 2025
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author Tsaloukidis, Lazaros
Peña-Benítez, Francisco
Surówka, Piotr
author_facet Tsaloukidis, Lazaros
Peña-Benítez, Francisco
Surówka, Piotr
contents Traditionally applied within equilibrium states, the charge-vortex dualities are expanded to address the complex dynamics of superfluids and ideal fluids under non-static conditions. We have constructed explicit mappings of finite temperature fluid dynamics to gauge theories, enabling a dual description where vortices in both superfluids and ideal fluids are interpreted as charges within these theories. We found that vortices in the normal component naturally exhibit mobility restrictions, as manifested by the symmetries and conservation laws. Next, we formulated the Liénard-Wiechert problem for the ideal fluid at finite temperature and extracted the wave dynamics in the system along with the speed of sound corrections for both fluid components. Finally, we computed the correlation functions for the gauge potentials, particularly elucidating explicit cross-correlations between the normal and superfluid components.
format Preprint
id arxiv_https___arxiv_org_abs_2503_09623
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-equilibrium charge-vortex duality
Tsaloukidis, Lazaros
Peña-Benítez, Francisco
Surówka, Piotr
High Energy Physics - Theory
Quantum Gases
Traditionally applied within equilibrium states, the charge-vortex dualities are expanded to address the complex dynamics of superfluids and ideal fluids under non-static conditions. We have constructed explicit mappings of finite temperature fluid dynamics to gauge theories, enabling a dual description where vortices in both superfluids and ideal fluids are interpreted as charges within these theories. We found that vortices in the normal component naturally exhibit mobility restrictions, as manifested by the symmetries and conservation laws. Next, we formulated the Liénard-Wiechert problem for the ideal fluid at finite temperature and extracted the wave dynamics in the system along with the speed of sound corrections for both fluid components. Finally, we computed the correlation functions for the gauge potentials, particularly elucidating explicit cross-correlations between the normal and superfluid components.
title Non-equilibrium charge-vortex duality
topic High Energy Physics - Theory
Quantum Gases
url https://arxiv.org/abs/2503.09623