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

Understand

We discuss the quantum dynamics of the Dirac fermion particle in a 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 gauge gravitational field without assuming it weak.