Running coupling in electroweak interactions of leptons from f(R)-gravity with torsion

TL;DR

This paper shows that torsion in f(R)-gravity naturally generates electroweak-like interactions among leptons, with energy-dependent coupling, suggesting a geometric origin for weak forces.

Contribution

It demonstrates that torsional f(R) gravity can produce the structure and strength of electroweak interactions as a geometric effect.

Findings

Torsion induces weak-force-like interactions among leptons.

The non-linearity of f(R) provides an energy-dependent coupling.

Electroweak interactions can be modeled as a geometric consequence of torsion.

Abstract

The f(R)-gravitational theory with torsion is considered for one family of leptons; it is found that the torsion tensor gives rise to interactions having the structure of the weak forces while the intrinsic non-linearity of the f(R) function provides an energy-dependent coupling: in this way, torsional f(R) gravity naturally generates both structure and strength of the electroweak interactions among leptons. This implies that the weak interactions among the lepton fields could be addressed as a geometric effect due to the interactions among spinors induced by the presence of torsion in the most general f(R) gravity. Phenomenological considerations are addressed.