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Spinor representation of the general Lorentz group for spin 1/2 particles and CPT

1998/09/08 by Recai Erdem, Erdem, Recai
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #gr-qc #hep-ph #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.hep-th/9809054

11 pages, Revtex, misprints are corrected, some clarifications are done, some references are added

arxiv created 1998/11/17 · arxiv updated 2009/11/30

Abstract

We show that the attempt to introduce all of the discrete space-time transformations into the spinor representation of the Lorentz group as wholly independent transformations (as in the vectorial representation) leads to an 8-component spinor representation in general. The first indications seem to imply that CPT can be violated in this formulation without going outside of field theory. However one needs further study to reach a final conclusion.

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