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Quantization of torsion in a space of zero Riemannian curvature

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Abstract

Starting from the general form of the Lagrangian (quadratic with respect to the curvature tensor), the free torsion field and its interaction with spinor matter is considered for the particular case of a zero Riemann—Christoffel tensor. It is shown that the torsion field is equivalent to the superposition of the wave functions of massive axial-vector, massless and massive pseudoscalar particles (torsions). In addition to this, an axial-vector torsion is generated by the divergenceless part of the spin pseudovector of matter, and pseudoscalar torsions by the divergence of this pseudovector.

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Authors and Affiliations

  1. All-Union Scientific-Research Institute of Optico-Physical Measurements, USSR

    P. L. Poznanin

Authors
  1. P. L. Poznanin
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 116–121, January, 1975.

In conclusion, the author wishes to thank Professor D. D. Ivanenko most sincerely for presenting this problem and constantly following its progress, as well as making a number of valuable comments.

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Poznanin, P.L. Quantization of torsion in a space of zero Riemannian curvature. Soviet Physics Journal 18, 95–100 (1975). https://doi.org/10.1007/BF00889819

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  • DOI: https://doi.org/10.1007/BF00889819

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