Supersymmetric Dirac particles in Riemann-Cartan space-time

Details Supersymmetric Dirac particles in Riemann-Cartan space-time Supersymmetric Dirac particles in Riemann-Cartan space-time

Sep 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14..773r&link_type=abstract

General Relativity and Gravitation, Volume 14, Issue 9, pp.773-792

Physics

19

Scientific paper

A natural extension of the supersymmetric model of Di Vecchia and Ravndal yields a nontrivial coupling of classical spinning particles to torsion in a Riemann-Cartan geometry. The equations of motion implied by this model coincide with a consistent classical limit of the Heisenberg equations derived from the minimally coupled Dirac equation. Conversely, the latter equation is shown to arise from canonical quantization of the classical system. The Heisenberg equations are obtained exact in all powers ofħ and thus complete the partial results of previous WKB calculations. We touch also on such matters of principle as the mathematical realization of anticommuting variables, the physical interpretation of supersymmetry transformations, and the effective variability of rest mass.

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