Discrete symmetries as automorphisms of the proper Poincare group

2000/10/05 by I. L. Buchbinder, D. M. Gitman, A. L. Shelepin
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP

paper · pdf

published as Int.J.Theor.Phys. 41 (2002) 753-790 · 33 pages, LaTex

arxiv created 2000/10/05 · arxiv updated 2009/11/30

Abstract

We present the consistent approach to finding the discrete transformations in the representation spaces of the proper Poincaré group. To this end we use the possibility to establish a correspondence between involutory automorphisms of the proper Poincaré group and the discrete transformations. As a result, we derive rules of the discrete transformations for arbitrary spin-tensor fields without the use of relativistic wave equations. Besides, we construct explicitly fields carrying representations of the extended Poincaré group, which includes the discrete transformations as well.

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