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Antisymmetric tensor fields and the Weyl gauge theory

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Abstract

The aim of the present paper is to find a spinor current—a source—in the Weyl non-Abelian gauge theory whose distinguishing feature is that it involves no abstract gauge space. It is shown that the desired spinor representation of the Weyl gauge group can be constructed in the space of antisymmetric tensor fields in the form of a 16-component quantity for which a gauge-invariant Lagrangian is established. The relationship between the Weyl non-Abelian gauge potential and the Cartan torsion field, and the question of where the interactions in question could manifest are discussed.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia

    B. M. Barbashov & A. B. Pestov

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  1. B. M. Barbashov
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  2. A. B. Pestov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 113, No. 1, pp. 112–123, October, 1997.

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Barbashov, B.M., Pestov, A.B. Antisymmetric tensor fields and the Weyl gauge theory. Theor Math Phys 113, 1299–1308 (1997). https://doi.org/10.1007/BF02634017

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  • DOI: https://doi.org/10.1007/BF02634017

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