Hall Viscosity in the Quark-Gluon Plasma

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Main Authors: Mondkar, Sukrut, Torrieri, Giorgio, Kaminski, Matthias, Meyer, René
Format: Preprint
Published: 2026
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author Mondkar, Sukrut
Torrieri, Giorgio
Kaminski, Matthias
Meyer, René
author_facet Mondkar, Sukrut
Torrieri, Giorgio
Kaminski, Matthias
Meyer, René
contents We study the Hall viscosity of the quark gluon plasma (QGP) created in non-central heavy-ion collisions. In the presence of a strong magnetic field or vorticity, rotational symmetry is broken from O(3) to O(2), allowing for two independent Hall viscosities associated with shear deformations transverse and parallel to the symmetry-breaking direction. We find the corresponding constitutive relations by extending the kinetic-theory mechanism to three spatial dimensions and provide parametric estimates of the Hall viscosities under realistic QGP conditions. Both kinetic-theory and holographic estimates indicate that Hall viscosities are comparable in magnitude to the shear viscosity at zero magnetic field. We further show that Hall viscous stresses at hydrodynamic initialization can be as large as standard viscous corrections and identify observable consequences in flow and event-plane correlations.
format Preprint
id arxiv_https___arxiv_org_abs_2603_23498
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Hall Viscosity in the Quark-Gluon Plasma
Mondkar, Sukrut
Torrieri, Giorgio
Kaminski, Matthias
Meyer, René
Nuclear Theory
High Energy Physics - Phenomenology
High Energy Physics - Theory
We study the Hall viscosity of the quark gluon plasma (QGP) created in non-central heavy-ion collisions. In the presence of a strong magnetic field or vorticity, rotational symmetry is broken from O(3) to O(2), allowing for two independent Hall viscosities associated with shear deformations transverse and parallel to the symmetry-breaking direction. We find the corresponding constitutive relations by extending the kinetic-theory mechanism to three spatial dimensions and provide parametric estimates of the Hall viscosities under realistic QGP conditions. Both kinetic-theory and holographic estimates indicate that Hall viscosities are comparable in magnitude to the shear viscosity at zero magnetic field. We further show that Hall viscous stresses at hydrodynamic initialization can be as large as standard viscous corrections and identify observable consequences in flow and event-plane correlations.
title Hall Viscosity in the Quark-Gluon Plasma
topic Nuclear Theory
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2603.23498