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arXiv · hep-th/9612189

Relativistic field equations from higher-order polarizations of the Poincaré group

Miguel Navarro·Manuel Calixto·Víctor Aldaya
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Abstract

The theory of free relativistic fields is shown to arise in a unified manner from higher-order, configuration-space, irreducible representations of the Poincaré group. A de Sitter subalgebra, in the massive case, and a Poincaré subalgebra, in the massless case, of the enveloping algebra of the Poincaré group are the suitable higher-order polarizations. In particular, a simple group-theoretic derivation of the Dirac equation is given.

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Miguel Navarro, Manuel Calixto, Víctor Aldaya. 1998-02-09. Relativistic field equations from higher-order polarizations of the Poincaré group. https://doi.org/10.1016/s0034-4877(98)80175-4

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