Semiclassical Particles with Arbitrary Spin in the Riemann-Cartan Spacetime

Abstract

By means of the Fock-Papapetrou method and the WKB method, the equations of world line and spin precession are derived for elementary particles with arbitrary spin s moving in the Riemann­ Cartan spacetime. It is shown that the world line is the geodesics of the metric, and that the spin precession due to torsion depends on the spin s. In particular, the intrinsic. spin vector is not Fermi-Walker transported along the world line relative either to the nonsymmetric connection or to the ordinary symmetric connection.