Journal of East China Normal University(Natural Science) ›› 2023, Vol. 2023 ›› Issue (4): 164-176.doi: 10.3969/j.issn.1000-5641.2023.04.017

• Physics and Electronics • Previous Articles     Next Articles

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


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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