华东师范大学学报（自然科学版） >

2023 , Vol. 2023 >Issue 4: 164 - 176

DOI: https://doi.org/10.3969/j.issn.1000-5641.2023.04.017

物理学与电子学

挠率对自旋粒子的作用

  • 惠鹏 ,
  • 薛迅
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  • 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

  网络出版日期: 2023-07-25

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)

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Effect of torsion on spin particles

  • Peng HUI ,
  • Xun XUE
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  • 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 date: 2022-04-30

  Online published: 2023-07-25

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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

本文引用格式

惠鹏 , 薛迅 . 挠率对自旋粒子的作用[J]. 华东师范大学学报（自然科学版）, 2023 , 2023(4) : 164 -176 . DOI: 10.3969/j.issn.1000-5641.2023.04.017

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

参考文献

1 DONOGHUE J F. Is the spin connection confined or condensed?. Physical Review D, 2017, 96 (4): 044003.
2 DONOGHUE J F. Conformal model of gravitons. Physical Review D, 2017, 96 (4): 044006.
3 DONOGHUE J F. Quartic propagators, negative norms, and the physical spectrum. Physical Review D, 2017, 96 (4): 044007.
4 KOSTELECKY V A, SAMUEL S. Spontaneous breaking of Lorentz symmetry in string theory. Physical Review D, 1989, 39 (2): 683- 685.
5 CARROLL S M, HARVEY J A, KOSTELECKY V A, et al. Noncommutative field theory and Lorentz violation. Physical Review Letters, 2001, 87 (14): 141601.
6 ALFARO J, MORALES-TÉCOTL H A, REYES M, et al, Alternative approaches to Lorentz violation invariance in loop quantum gravity inspired models [J]. Physical Review D, 2004, 70(8): 084002.
7 SHEN J Y, XUE X. Large scale Lorentz violation gravity and dark energy [C]// Lepton Photon Interactions at High Energies , Lepton Photon 2017, Proceedings of the 28th International Symposium on Lepton Photon Interactions at High Energies (LP17). Singapore: World Scientific Publishing Co Pte Ltd, 2020: 459-475.
8 WU Y W, XUE X, YANG L X, et al. The effective gravitational theory at large scale with Lorentz violation [EB/OL]. (2015-10-18)[2022-03-02]. https://arxiv.org/abs/1510.00814.
9 吴奕暐, 薛 迅. SIM(2)引力规范理论. 华东师范大学(自然科学版), 2016, (3): 76- 83.
10 YANG L X, WU Y W, WEI W Y, et al. The effective gravitation theory at large scale with Lorentz violation. Chinese Science Bulletin, 2017, 62 (9): 944- 950.
11 魏文叶, 申佳音, 吴奕暐, 等. 大尺度有效引力的E(2)规范理论模型 . 物理学报, 2017, 66 (13): 130301.
12 翟韩豫, 申佳音, 薛迅. 源自弦景观的有效Quintessence. 物理学报, 2019, 68 (13): 139501.
13 ZHAI H Y, SHEN J Y, XUE X, Uplifting of AdS type to quintessence-like potential induced by frozen large-scale Lorentz violation [J]. Chinese Physics C, 2020, 44(8): 085101,
14 LI Q, LI J, ZHOU Y X, et al. The effective potential originating from Swampland and the non-trivial Brans-Dicke coupling. Chinese Physics C, 2020, 44 (10): 105108.
15 LI J, ZHOU Y X, XUE X. Spatial curvature and large scale Lorentz violation. Chinese Physics C, 2022, 46 (6): 065101.
16 SHAPIRO I L. Physical aspects of the space-time torsion. Physics Reports, 2002, 357 (2): 113- 213.
17 HAMMOND R T. Torsion gravity. Reports on Progress in Physics, 2002, 65 (5): 599- 649.
18 TRUKHANOVA M. The geometro-hydrodynamical formalism of the quantum spinning particle. Progress of Theoretical and Experimental Physics, 2018, (12): 123A01.
19 TRUKHANOVA M I. The geometro-hydrodynamical representation of the torsion field. Physics Letters A, 2017, 381 (35): 2887- 2892.
20 HONGO M, HUANG X G, KAMINSKI M. Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation [J/OL]. Journal of High Energy Physics, 2021: 150. (2021-11-19)[2022-03-02]. https://doi.org/10.1007/JHEP11(2021)150.
21 TRUKHANOVA M I, OBUKHOV Y N. Quantum hydrodynamics of spinning particles in electromagnetic and torsion fields [J/OL]. Universe, 2021, 7(12): 498. (2021-12-15)[2022-03-02]. https://doi.org/10.3390/universe7120498.
22 TSAMPARLIS M. Cosmological principle and torsion. Physics Letters A, 1979, 75 (1/2): 27- 28.
23 NICACIO F, FALCIANO F T. Mean value of the quantum potential and uncertainty relations. Physical Review A, 2020, 101 (5): 052105.
24 MISNER C W, THORNE K S, WHEELER J A. Gravitation [M]. Princeton, New Jersey: Princeton University Press, 1973.
25 ALDROVANDI R, PEREIRA J G. Teleparallel Gravity [M]. Dordrecht Netherlands: Springer, 2013.
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