Relativistic field equations from higher-order polarizations of the Poincaré group
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Knowledge AreaMatemática Aplicada
SponsorsM. N. is grateful to the Spanish M.E.C., C.S.I.C. and I.M.A.F.F. for a research contract, and to the Imperial College, where this paper was written, for its boundless hospitality. M. Calixto acknowledges the Spanish M.E.C for a F.P.I. grant. This work was partially supported by the DGICYT.
PublisherInstitute of Physics Nicolaus Copernicus University
Bibliographic CitationNAVARRO, Miguel, CALIXTO MOLINA, Manuel, ALDAYA VALVERDE, Victor. Relativistic field equations from higher-order polarizations of the Poincaré group. Reports on Mathematical Physics, 41 (2): 193-202, April 1998. ISSN 0034-4877
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 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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