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U(4) spin gauge theory over a Riemann-Cartan space-time

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Zeitschrift für Physik C Particles and Fields

Abstract

A spin gauge theory based on the groupU(4) is investigated in a general relativistic context including the possibility of nonzero torsion. The language of Clifford bundles over a space-time with metric and metric compatible torsion is used as a convenient tool for the study of fields defined on space-time possessing Clifford multiplication properties. A Dirac-type representation is investigated in detail and the geometric implications for spin gauge theory are pointed out.

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  1. Max-Planck-Institut für Physik und Astrophysik, P.O. Box 40 12 12, D-8000, München, Germany

    W. Drechsler

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  1. W. Drechsler
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Drechsler, W. U(4) spin gauge theory over a Riemann-Cartan space-time. Z. Phys. C - Particles and Fields 41, 197–205 (1988). https://doi.org/10.1007/BF01566917

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