Publication

The bargmann-wigner equations in spherical space

McKeon, D.G.C.
; 
Sherry, T N
Identifiers
http://hdl.handle.net/10379/9533
https://doi.org/10.13025/24253
Repository DOI
10.1139/p06-011
Publication Date
2006-01-01
Keywords
dimensional regularization, operator regularization, quantum electrodynamics, dirac-equation, massless, hypersphere
Type
Article
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Citation
McKeon, D.G.C. Sherry, T N (2006). The bargmann-wigner equations in spherical space. Canadian Journal of Physics 84 (1), 37-52
Abstract
The Bargmann-Wigner formalism is adapted to spherical surfaces embedded in three to eleven dimensions. This is demonstrated to generate wave equations in spherical space for a variety of antisymmetric tensor fields. Some of these equations are gauge invariant for particular values of the parameters characterizing them. For spheres embedded in three, four, and five dimensions, this gauge invariance can be generalized so as to become non-Abelian. This non-Abelian gauge invariance is shown to be a property of second-order models for two index antisymmetric tensor fields in any number of dimensions. The O(3) model is quantized and the two-point function is shown to vanish at the one-loop order.
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Publisher
Canadian Science Publishing
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
cbn
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Externally hosted open access publications with University of Galway authors (1)