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Hydrodynamics of spin currents

by Domingo Gallegos, Umut Gursoy, Amos Yarom

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Submission summary

Authors (as registered SciPost users): Umut Gursoy · Amos Yarom
Submission information
Preprint Link: https://arxiv.org/abs/2101.04759v3  (pdf)
Date accepted: 2021-08-04
Date submitted: 2021-07-28 00:12
Submitted by: Gursoy, Umut
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Fluid Dynamics
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

We study relativistic hydrodynamics in the presence of a non vanishing spin chemical potential. Using a variety of techniques we carry out an exhaustive analysis, and identify the constitutive relations for the stress tensor and spin current in such a setup, allowing us to write the hydrodynamic equations of motion to second order in derivatives. We then solve the equations of motion in a perturbative setup and find surprisingly good agreement with measurements of global $\Lambda$-hyperon polarization carried out at RHIC.

Author comments upon resubmission

This is resubmitted from v3 of the draft on the arXiv.

List of changes

1. Added reference to Bjorken's original paper.
2. Added a sentence in the last paragraph of section 4 to explain that the the new transport coefficients play a crucial role in obtaining a nonvanishing polarization of Lambda hyperons.
3. Added a sentence referring to extensions of the BDN/K hyrodynamics frame as possible outlook.
4. Corrected a typo below equation (7) ‘parameteric’ to ‘parametric’
5. Replaced subscript 'i' for the ideal currents with 'id' for clarity
6. Defined $\tilde m_{ab}$ in eq. (11b) below it.
7. Corrected a typo in Eq. (11b) and in (12).
8. Added a new equation (13) to clarify our definitions.

Published as SciPost Phys. 11, 041 (2021)


Reports on this Submission

Report 1 by Michal P. Heller on 2021-7-28 (Invited Report)

Report

The paper is good to go as it is.

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