Relativistic hydrodynamics with spin in the presence of electromagnetic fields

We extend the classical phase-space distribution function to include the spin and electromagnetic fields coupling and derive the modified constitutive relations for charge current, energy-momentum tensor, and spin tensor. Because of the coupling, the new tensors receive corrections to their perfect...

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Bibliographic Details
Published inarXiv.org
Main Authors Singh, Rajeev, Shokri, Masoud, S M A Tabatabaee Mehr
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 19.04.2023
Subjects
Baryons
Chemical potential
Constitutive relationships
Coupling
Distribution functions
Electromagnetic fields
Equations of motion
Heavy ions
Hyperons
Ionic collisions
Magnetohydrodynamics
Mathematical analysis
Physics - High Energy Physics - Phenomenology
Physics - Nuclear Theory
Polarization (spin alignment)
Tensors
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Summary:We extend the classical phase-space distribution function to include the spin and electromagnetic fields coupling and derive the modified constitutive relations for charge current, energy-momentum tensor, and spin tensor. Because of the coupling, the new tensors receive corrections to their perfect fluid counterparts and make the background and spin fluid equations of motion communicate with each other. We investigate special cases which are relevant in high-energy heavy-ion collisions, including baryon free matter and large mass limit. Using Bjorken symmetries, we find that spin polarization increases with increasing magnetic field for an initially positive baryon chemical potential. The corrections derived in this framework may help to explain the splitting observed in Lambda hyperons spin polarization measurements.
ISSN:2331-8422
DOI:10.48550/arxiv.2202.11504