EXTENSION OF THE SHIRAFUJI MODEL FOR MASSIVE PARTICLES WITH SPIN
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Publication:5493941
DOI10.1142/S0217751X06031703zbMATH Open1107.81032arXivhep-th/0510266OpenAlexW2083221892MaRDI QIDQ5493941
Author name not available (Why is that?)
Publication date: 16 October 2006
Published in: (Search for Journal in Brave)
Abstract: We 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 (covariantized time coordinate) defining plane wave solutions.
Full work available at URL: https://arxiv.org/abs/hep-th/0510266
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