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Spin polarization induced by the hydrodynamic gradients

Authors
  • Liu, Shuai Y. F.1
  • Yin, Yi1, 2
  • 1 Chinese Academy of Sciences, Lanzhou, Gansu, 730000, China , Lanzhou (China)
  • 2 University of Chinese Academy of Sciences, Beijing, 100049, China , Beijing (China)
Type
Published Article
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Publication Date
Jul 23, 2021
Volume
2021
Issue
7
Identifiers
DOI: 10.1007/JHEP07(2021)188
Source
Springer Nature
Keywords
Disciplines
  • Regular Article - Theoretical Physics
License
Green

Abstract

We systematically analyze the effects of the derivatives of the hydrodynamic fields on axial Wigner function that describes the spin polarization vector in phase space. We have included all possible first-order derivative contributions that are allowed by symmetry and compute the associated transport functions at one-loop using the linear response theory. In addition to reproducing known effects due to the temperature gradient and vorticity, we have identified a number of potentially significant contributions that are overlooked previously. In particular, we find that the shear strength, the symmetric and traceless part of the flow gradient, will induce a quadrupole for spin polarization in the phase space. Our results, together with hydrodynamic gradients obtained from hydrodynamic simulations, can be employed as a basis for the interpretation of the Λ (anti-Λ) spin polarization measurement in heavy-ion collisions.

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