Relativistic field equations from higher-order polarizations of the Poincar\'e group
High Energy Physics - Theory
2016-08-15 v2
Abstract
The theory of free relativistic fields is shown to arise in a unified manner from higher-order, configuration-space, irreducible representations of the Poincar\'e group. A de Sitter subalgebra, in the massive case, and a Poincar\'e subalgebra, in the massless case, of the enveloping algebra of the Poincar\'e group are the suitable higher-order polarizations. In particular, a simple group-theoretic derivation of the Dirac equation is given.
Keywords
Cite
@article{arxiv.hep-th/9612189,
title = {Relativistic field equations from higher-order polarizations of the Poincar\'e group},
author = {Miguel Navarro and Manuel Calixto and Víctor Aldaya},
journal= {arXiv preprint arXiv:hep-th/9612189},
year = {2016}
}
Comments
The paper has been reordered. LaTeX file, 15 pp. To appear in Rep. Math. Phys