A modified theory of gravity with torsion and its applications in particle physics

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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10 pages

Scientific paper

In the present paper we consider a theory of gravity in which not only curvature but also torsion is explicitly present in the Lagrangian, both with their own coupling constant; applying this theory to the Dirac field we see that because torsion has coupling that is still undetermined, the Dirac equation is endowed with self-interactions whose coupling constant is yet to be determined: we have discussed different applications according to the value of the constant we have assigned. We discuss how in our approach, the Dirac self-interactions depend on the coupling constant as a parameter that may even make these non-linearities manifest at subatomic scales.

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