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Wave-functions for spin-3/2 and integer spin fields

Arcaute, E; Lasenby, A; (2008) Wave-functions for spin-3/2 and integer spin fields. In: ADVANCES IN APPLIED CLIFFORD ALGEBRAS. (pp. 353 - 372). BIRKHAUSER VERLAG AG

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Abstract

Following the Bargmann-Wigner formalism, wave-functions for integer and spin-3/2 fields are constructed within geometric algebra. This is achieved through the multiparticle space-time algebra, where the number of copies of the space-time algebra corresponds to the number of spinor fields needed to construct the wave-function. However, this formalism breaks down if a gauge field is introduced. This is resolved by introducing a, symmetrised version of the covariant derivative, such that it obeys the Duffin-Kemmer algebra. Furthermore, new interesting results are found for the energy-momentum tensors.

Type:Proceedings paper
Title:Wave-functions for spin-3/2 and integer spin fields
Event:7th International Conference on Clifford Algebras and Their Applications
Location:Univ Paul Sabatier, Toulouse, FRANCE
Dates:2005-05-19 - 2005-05-29
DOI:10.1007/s00006-008-0077-8
Keywords:geometric algebra, multiparticle quantum theory, Bargmann-Wigner equations, Duffin-Kemmer algebra, Dirac equation, Proca equations, Maxwell equations, Klein-Gordon equation, chiral symmetry, Rarita-Schwinger equations, energy-momentum tensor, SPACETIME ALGEBRA
UCL classification:UCL > School of BEAMS > Faculty of the Built Environment > Centre for Advanced Spatial Analysis

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