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Least-Order Torsion-Gravity for Chiral-Spinor Fields, induced Self-Interacting Potentials and Parity Conservation

2013/07/31 by Luca Fabbri · 1 citation
Physics and Astronomy · #gr-qc

paper · pdf · doi:10.1007/s10714-013-1663-1

published as Gen.Rel.Grav.46:1663(2014) · 7 pages

arxiv created 2014/12/10 · arxiv updated 2014/12/11

Abstract

We will consider the most general least-order derivative action for the torsional completion of gravitational backgrounds filled with left-handed and right-handed semi-spinorial fields, accounting for all parity-even as well as parity-odd contributions; we will proceed by performing the customary analysis, decomposing torsion and substituting it in terms of the semi-spinorial density currents, in order to obtain the effective action with the torsionally-induced self-interacting potentials among the chiral fermionic fields: we shall see that the resulting effective non-linear potentials will turn eventually out to be parity conserving after all.

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