Gauge fields with torsion

The Klein-Kaluza theory with a nonvanishing torsion is developed. The torsion is associated with spin and polarization of a gauge field. The electromagnetic polarization is considered as a source of additional components of torsion connected with the fifth dimension. New physical effects obtained due to this torsion are pointed out and some cosmological models are studied. It is proved that new effects are 10³⁶ times bigger than the effects from the Einstein-Cartan theory. The usual Dirac equation is generalized to the Klein-Kaluza theory with and without torsion. The dipole electric moment of a fermion of order 10^–32 cm is obtained. A new generalization of minimal coupling is proposed.Partially supported by Polish Ministry of Science, Higher Education and Technology project No. MR17.