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

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 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 n_{chiral}=((((8e²)/(16π²))(1/σ){(∇×B)⋅B+(γ₂q_{s}n_{s}H_{mix}+γ₁H_{V})|B|²})/((2Γ_{flip}+((8e²)/(16π²))((e²)/(2π²))(6/(σT²))|B|²))) supplemented with the dynamical equation for the torsion vector h_{μ} containing the helicities and other axial couplings. The role played by the neutrinos in interaction with the axion field in this theoretical framework is briefly discussed.