Fermion helicity flip and fermion oscillation induced by dynamical torsion field

Universidad de Buenos Aires, Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), National Institute of Plasma Physics (INFIP), Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria - Buenos Aires 1428, Argentina and Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research 141980 Dubna, Russian Federation

Received: 14 May 2019
Accepted: 28 June 2019

Abstract

We show that in theories of gravitation based in affine geometries the torsion field, that takes a dynamical character, produces the non-conservation of the helicity of fermion particles (spin precession). Such effect is related to the torsion vector (the dual of totally antisymmetric torsion field). The oscillation of fermion fields (e.g., Majorana neutrinos) in the presence of the dynamical torsion field also is computed showing that such oscillation depends on the zero component of . This fact is in a sharp contrast with earlier reference (Capozziello S. et al., Europhys. Lett., 46 (1999) 710) were the torsion is a background (non-dynamical) being its dual a null vector. Cosmological implicancies of this research are discussed in the context of previous results of the authors where group theoretical features of the underlying theory and the relation torsion-dark matter field were considered.