Spin-torsion coupling and gravitational moments of Dirac fermions: Theory and experimental bounds

2014/10/31 by Yuri N. Obukhov, Alexander J. Silenko, Oleg V. Teryaev +1 · 5 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Black Holes and Theoretical Physics #Classical mechanics #Dirac equation #Dirac fermion #Fermion #Gauge theory #General relativity #Gravitation #Gravitational field #Hamiltonian (control theory) #Lorentz covariance #Lorentz transformation #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum electrodynamics #Quantum mechanics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.90.124068

published as Phys. Rev. D 90 (2014) 124068 · 13 pages, no figures, Revtex

openalex publication_date 2014/12/23 · arxiv created 2015/01/29 · arxiv updated 2015/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss the quantum dynamics of a Dirac fermion particle in the Poincar'e gauge gravitational field. The minimal as well as the Pauli-type nonminimal coupling of a fermion with external fields is studied, bringing into consideration the notions of the translational and the Lorentz gravitational moments. The anomalous gravitomagnetic and gravitoelectric moments are ruled out on the basis of the covariance arguments. We derive the general Foldy-Wouthuysen transformation for an arbitrary configuration of the Poincar'e gauge gravitational field without assuming it is weak. Making use of the Foldy-Wouthuysen Hamiltonian for the Dirac particle coupled to a magnetic field in a noninertial reference system, we analyze the recent experimental data and obtain bounds on the spacetime torsion.

Citations

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Cited by

• Induced Couplings and Causal Bounds from Nondegenerate Dirac Lagrangians
• Manipulating Twisted Electron Beams
• The light-front gauge-invariant energy-momentum tensor
• Parity violation in Poincaré gauge gravity
• Induced gravitational topological term and the Einstein-Cartan modified theory

Related

• Gravitomagnetic Moments and Dynamics of Dirac's (spin 1/2) fermions in flat space-time Maxwellian Gravity
• On the gravitational moments of a Dirac particle
• Torsion: theory and possible observables
• Ideal gases and degenerate Fermi gases in external torsion fields
• Foldy--Wouthuysen Transformation of the Generalized Dirac Equation in Symmetric Teleparallel Gravity