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Type: Artigo de periódico
Title: On Clifford subalgebras, spacetime splittings and applications
Author: Da Rocha, R
Vaz, J
Abstract: Z(2)-gradings of Clifford algebras are reviewed and we shall be concerned with an alpha-grading based on the structure of inner automorphisms, which is closely related to the spacetime splitting, if we consider the standard conjugation map automorphism by an arbitrary, but fixed, splitting vector. After briefly sketching the orthogonal and parallel components of products of differential forms, where we introduce the parallel [orthogonal] part as the space [time] component, we provide a detailed exposition of the Dirac operator splitting and we show how the differential operator parallel and orthogonal components are related to the Lie derivative along the splitting vector and the angular momentum splitting bivector. We also introduce multivectorial-induced alpha-gradings and present the Dirac equation in terms of the spacetime splitting, where the Dirac spinor field is shown to be a direct sum of two quaternions. We point out some possible physical applications of the formalism developed.
Subject: Clifford algebras
spacetime splitting
Country: Singapura
Editor: World Scientific Publ Co Pte Ltd
Citation: International Journal Of Geometric Methods In Modern Physics. World Scientific Publ Co Pte Ltd, v. 3, n. 7, n. 1359, n. 1380, 2006.
Rights: fechado
Identifier DOI: 10.1142/S0219887806001661
Date Issue: 2006
Appears in Collections:Unicamp - Artigos e Outros Documentos

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