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Relativistic spin on the Poincaré group

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Abstract

Classical spinning particles are interpreted in terms of an underlying geometric theory. They are described by trajectories on the Poincaré group. Upon quantization an eleven-dimensional Kaluza-Klein type theory is obtained which incorporates spin and isospin in a local SL(2, C)×U(1)×SU(2) gauge theory, unifying gravity and the pre-Higgs standard model. The relation to parametrized relativistic quantum theory is discussed.

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  1. Fachbereich Physik, Carl v. Ossietzky Universität, D-26111, Oldenburg, Germany

    Ludger Hannibal

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Hannibal, L. Relativistic spin on the Poincaré group. Found Phys 27, 43–56 (1997). https://doi.org/10.1007/BF02550154

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