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arXiv · 1901.11481

New representations of Poincar\'e group for consistent Relativistic Particle Theories

Giuseppe Nisticò
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Abstract

Though the irreducible representations of the Poincare' group form the groundwork for the formulation of relativistic quantum theories of a particle, robust classes of such representations are missed in current formulations of these theories. In this work the extended class of irreducible representations with positive `mass' parameter is explicitly determined. Several new representations in such extension, so far excluded, give rise to consistent theories for Klein-Gordon particles and also to new species of particle theories.

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Giuseppe Nisticò. 2019-01-31. New representations of Poincar\'e group for consistent Relativistic Particle Theories. https://doi.org/10.1088/1742-6596/1275/1/012034

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