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

AuthorsNavarro Navarro, Miguel; Calixto, Manuel; Aldaya, Víctor
Keywords[PACS] Classical field theory
[PACS] Relativistic wave equations
[PACS] Lorentz and Poincare invariance
Issue Date1998
PublisherPergamon Press
CitationReports on Mathematical Physics 41: 193- 202 (1998)
AbstractThe 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.
Identifiersdoi: 10.1016/S0034-4877(98)80175-4
issn: 0034-4877
Appears in Collections:(IFIC) Artículos
(CFMAC-IFF) Artículos
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