On Spinor Representations in the Weyl Gauge Theory

Details On Spinor Representations in the Weyl Gauge Theory On Spinor Representations in the Weyl Gauge Theory

1998-06-22

arxiv.org/abs/gr-qc/9806086v1

Mod.Phys.Lett. A12 (1997) 1957-1968

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, latex, no figures

Scientific paper

10.1142/S0217732397002004

A spinor current-source is found in the Weyl non-Abelian gauge theory which does not contain the abstract gauge space. It is shown that the searched spinor representation can be constructed in the space of external differential forms and it is a 16-component quantity for which a gauge-invariant Lagrangian is determined. The connexion between the Weyl non-Abelian gauge potential and the Cartan torsion field and the problem of a possible manifestation of the considered interactions are considered.

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