Geometrical aspects of hypermagnetic field interactions

Abstract

We investigate the role of a dynamical torsion field coming from a geometrical non-Riemannian model. This model is reminiscent of a generalized Born-Infeld theory and the torsionplays a fundamental role trough its Hodge dual: the pseudovector hμ. This hμ contains axion, Kalb-Ramond 2-form and physical observables of macroscopic character. An emergent interaction Lagrangian arises from the model and it is compared with a superstring inspired one taken from Bamba Kazuharu et al., Phys. Lett. B, 664 (2008) 154 pulling out several importantconsequences in favor of our proposal, as the possibility of establishing a clear connection betweenthe change of the CMB polarization plane and the anomalous current n chiral.