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Type: Artigo de periódico
Title: Dotted and undotted algebraic spinor fields in general relativity
Author: de Oliveira, EC
Rodrigues, WA
Abstract: We investigate using Clifford algebra methods the theory of algebraic dotted and undotted spinor fields over a Lorentzian spacetime and their realizations as matrix spinor fields, which are the usual dotted and undotted two component spinor fields. We found that some ad hoc rules postulated for the covariant derivatives of Pauli sigma matrices and also for the Dirac gamma matrices in General Relativity cover important physical meaning, which is not apparent in the usual matrix presentation of the theory of two components dotted and undotted spinor fields. We discuss also some issues related to the previous one and which appear in a proposed "unified" theory of gravitation and electromagnetism which use two components dotted and undotted spinor fields and also paravector fields, which are particular sections of the even subundle of the Clifford bundle of spacetime.
Subject: dotted and undotted spinor fields
Clifford bundles
general relativity
Country: Singapura
Editor: World Scientific Publ Co Pte Ltd
Rights: fechado
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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