Causality of polarizeable dissipative fluids from Lagrangian hydrodynamics

Fuente: arXiv
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Main Authors: Montenegro, David, Torrieri, Giorgio
Format: Preprint
Published: 2025
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author Montenegro, David
Torrieri, Giorgio
author_facet Montenegro, David
Torrieri, Giorgio
contents We perform a causality analysis on the dispersion relation of hydrodynamics with spin well as shear and bulk viscosity, including the relaxation times for all these quantities. We find that the interplay of the three relaxational scales, for shear and bulk viscosity as well as polarization, leads to non-trivial effects on the dispersion relation. Unexpectedly, the presence of polarization leads to lower effective viscosity and a longer relaxation time, and the presence of viscosity leads to lower limits as well as upper ones on the group velocity and constraints relating polarization to viscosity relaxation times. We conclude with a qualitative discussion on how these results impact phenomenology, specifically the low effective viscosity in strongly interacting matter as well as shear-vorticity coupling.
format Preprint
id arxiv_https___arxiv_org_abs_2506_17327
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Causality of polarizeable dissipative fluids from Lagrangian hydrodynamics
Montenegro, David
Torrieri, Giorgio
Nuclear Theory
High Energy Physics - Phenomenology
High Energy Physics - Theory
We perform a causality analysis on the dispersion relation of hydrodynamics with spin well as shear and bulk viscosity, including the relaxation times for all these quantities. We find that the interplay of the three relaxational scales, for shear and bulk viscosity as well as polarization, leads to non-trivial effects on the dispersion relation. Unexpectedly, the presence of polarization leads to lower effective viscosity and a longer relaxation time, and the presence of viscosity leads to lower limits as well as upper ones on the group velocity and constraints relating polarization to viscosity relaxation times. We conclude with a qualitative discussion on how these results impact phenomenology, specifically the low effective viscosity in strongly interacting matter as well as shear-vorticity coupling.
title Causality of polarizeable dissipative fluids from Lagrangian hydrodynamics
topic Nuclear Theory
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2506.17327