Born-Infeld generalization: Axion and Kalb-Ramond from dynamical torsion fields

Federal Research Center, Institute of Applied Mathematics M.V. Keldysh, Institute of the Russian Academy of Sciences - Miusskaya sq. 4, 125047, Moscow, Russian Federation and 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

^(a) diego777jcl@gmail.com (corresponding author)

Received: 5 September 2021
Accepted: 5 October 2021

Abstract

We show that in theories of gravitation based on affine geometries the torsion field, that takes a dynamical character, not only the chiral magnetic effect (CME) intervenes in the wash up of the chiral anomaly but also the chiral vortical effect (CVE) and the coupled chiral effect (CCE) coming from the hypermagnetic field interaction with the primordial plasma are crucial in a realistic physical scenario, as in the case of the early universe. We also show that the equation governing the wash up takes the form given in this paper, supplemented with the dynamical equation for the torsion vector containing the helicities and other axial couplings. The role played by the neutrinos in the interaction with the axion field in this theoretical framework is briefly discussed.