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Nonsingular Dirac particles in spacetime with torsion

2010
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Physics Letters B
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We use the Papapetrou method of multipole expansion to show that a Dirac field in the Einstein-Cartan-Kibble-Sciama (ECKS) theory of gravity cannot form singular configurations concentrated on one- or two-dimensional surfaces in spacetime. Instead, such a field describes a nonsingular particle whose spatial dimension is at least on the order of its Cartan radius. In particular, torsion modifies Burinskii's model of the Dirac electron as a Kerr-Newman singular ring of the Compton size, by

doi:10.1016/j.physletb.2010.04.073
fatcat:frsom5jusbczbbpkrx3rbqh4ju