Massive Particle Model with Spin from a Hybrid (spacetime-twistorial) Phase Space Geometry and Its Quantization

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dc.creatorFedoruk, Sergey
dc.creatorFrydryszak, Andrzej
dc.creatorLukierski, Jerzy
dc.creatorMiquel-Espanya, Cèsar
dc.date2007-02-07
dc.date.accessioned2026-07-07T07:45:16Z
dc.date.available2026-07-07T07:45:16Z
dc.descriptionWe extend the Shirafuji model for massless particles with primary spacetime coordinates and composite four-momenta to a model for massive particles with spin and electric charge. The primary variables in the model are the spacetime four-vector, four scalars describing spin and charge degrees of freedom as well as a pair of Weyl spinors. The geometric description proposed in this paper provides an intermediate step between the free purely twistorial model in two-twistor space in which both spacetime and four-momenta vectors are composite, and the standard particle model, where both spacetime and four-momenta vectors are elementary. We quantize the model and find explicitly the first-quantized wavefunctions describing relativistic particles with mass, spin and electric charge. The spacetime coordinates in the model are not commutative; this leads to a wavefunction that depends only on one covariant projection of the spacetime four-vector defining plane wave solutions.
dc.description12 pages, prepared for the Proceedings of the 22nd Max Born Symposium, 27-29 September 2006, Wrocław, Poland
dc.identifierhttps://arxiv.org/abs/hep-th/0702050
dc.identifierhttp://arxiv.org/abs/hep-th/0702050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123475
dc.subjectHigh Energy Physics - Theory
dc.titleMassive Particle Model with Spin from a Hybrid (spacetime-twistorial) Phase Space Geometry and Its Quantization
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