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

9 pages. arXiv admin note: text overlap with arXiv:1012.5529 by other authors

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Cited by in corpus (14)

• FRW Cosmology in F(R,T) gravity
• Analysis of F(R,T) Gravity Models Through Energy Conditions
• On weak interactions as short-distance manifestations of gravity
• Importance of torsion and invariant volumes in Palatini theories of gravity
• Proton radius puzzle and quantum gravity at the Fermi scale
• Probing the physical and mathematical structure of $f(R)$ gravity by PSR $J0348+0432$
• The dynamics of Bianchi I universes in $R^n$ cosmologies with torsion
• On the junction conditions in $f(R)$-gravity with torsion
• High-energy density implications of a gravitoweak unification scenario
• Gravitational vacuum polarization phenomena due to the Higgs field
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• Least-Order Torsion-Gravity for Fermion Fields, and the Non-Linear Potentials in the Standard Models
• Muonic hydrogen as a quantum gravimeter