Dirac particle in Riemann–Cartan spacetimes

Dynamics of a Dirac particle in general Riemann–Cartan spacetimes is considered. The Hermitian Dirac Hamiltonian is derived and is transformed to the Foldy–Wouthuysen representation for an arbitrary spacetime geometry. The contribution of the torsion field to the Foldy–Wouthuysen Hamiltonian is foun...

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Veröffentlicht in:Physics of particles and nuclei 2018-01, Vol.49 (1), p.9-10
Hauptverfasser: Obukhov, Yu. N., Silenko, A. J., Teryaev, O. V.
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creator Obukhov, Yu. N.
Silenko, A. J.
Teryaev, O. V.
description Dynamics of a Dirac particle in general Riemann–Cartan spacetimes is considered. The Hermitian Dirac Hamiltonian is derived and is transformed to the Foldy–Wouthuysen representation for an arbitrary spacetime geometry. The contribution of the torsion field to the Foldy–Wouthuysen Hamiltonian is found. The new bounds on Cartan’s spacetime torsion are obtained.
doi_str_mv 10.1134/S106377961801029X
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source SpringerNature Journals
subjects 2016
Dubna
ELEMENTARY PARTICLES
FOLDY-WOUTHUYSEN TRANSFORM
Particle and Nuclear Physics
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Russia
SPACE-TIME
The International Session-Conference of SNP PSD RAS “Physics of Fundamental Interactions” April 12–15
title Dirac particle in Riemann–Cartan spacetimes
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