华东师范大学学报（自然科学版） ›› 2023, Vol. 2023 ›› Issue (4): 164-176.doi: 10.3969/j.issn.1000-5641.2023.04.017

• 物理学与电子学 • 上一篇    下一篇

挠率对自旋粒子的作用

惠鹏1, 薛迅2,3,4,*()   

  1. 1. 新疆大学 物理科学与技术学院, 乌鲁木齐　830046
    2. 新疆大学 理论物理中心, 乌鲁木齐　830046
    3. 华东师范大学 物理与电子科学学院, 上海　200241
    4. 华东师范大学重庆研究院, 重庆　401120
  • 收稿日期:2022-04-30 出版日期:2023-07-25 发布日期:2023-07-25
  • 通讯作者: 薛迅 E-mail:xxue@phy.ecnu.edu
  • 基金资助:
    国家自然科学基金(11775080, 11865016); 重庆市自然科学基金(CSTB2022NSCQ-MSX0351)

Effect of torsion on spin particles

Peng HUI1, Xun XUE2,3,4,*()   

  1. 1. School of Physics and Technology, Xinjiang University, Urumqi　830046, China
    2. Center for Theoretical Physics, Xinjiang University, Urumqi　830046, China
    3. School of Physics and Electronic Science, East China Normal University, Shanghai　200241, China
    4. Chongqing Institute of East China Normal University, Chongqing　401120, China
  • Received:2022-04-30 Online:2023-07-25 Published:2023-07-25
  • Contact: Xun XUE E-mail:xxue@phy.ecnu.edu

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摘要：

有挠引力理论表明挠率–自旋耦合会影响自旋粒子在挠率场中的传播. 根据有挠弯曲时空中挠率耦合的狄拉克(Dirac)作用量, 将几何–流体动力学方法, 从闵氏度规的黎曼(Riemann)平时空推广到宇宙学时空的情形, 得到了描述在宇宙学Robertson-Walker度规和挠率背景场中, 运动的自旋1/2粒子行为的半经典流守恒方程、动力学方程、自旋演化方程, 以及挠率–自旋作用一般会使自旋粒子在时空中的传播路径偏离测地线; 对确定宇宙学挠率时空中自旋粒子的传播, 求出了其运动方程的解; 发现挠率使自旋粒子绕无挠情形的传播路径做螺旋进动, 这可以用来检验建立在有挠引力基础上的宇宙学模型.

关键词: 自旋挠率耦合, 矢量挠率, 轴矢量挠率, 几何–流体动力学

Abstract:

Theories of gravity with torsion indicate that spin-torsion coupling impacts the propagation of spin particles in a torsion field background. This paper encompasses the Dirac action in a curved spacetime with torsion, generalized geometrical hydrodynamics method from the flat Riemann spacetime to Robertson-Walker spacetime, and obtained semiclassical equations including the flow conservation equation, dynamic equation, and spin evolution equation, which describe the behavior of a spin 1/2 particle in arbitrary curved spacetime with torsion. These equations show that spin-torsion interaction usually causes the particles to deviate from the geodesic. Moreover, a solution for the cosmological background is found with definitive cosmological torsion; it concludes that the motion of the particle under the torsion field is a spiral motion along the propagation path, which the particle would take without torsion. This effect, subsequently, verifies the cosmological models established on theories of gravity with torsion.

Key words: spin-torsion coupling, vector torsion, axial vector torsion, geometro-hydrodynamics

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