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Persistent URL http://purl.org/net/epubs/work/12220377
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Record Id 12220377
Title The SU(3) algebra in a cyclic basis
Abstract With the couplings between the eight gluons constrained by the structure constants of the su(3) algebra in QCD, one would expect that there should exist a special basis (or set of bases) for the algebra wherein, unlike in a Cartan-Weyl basis, all gluons interact identically (cyclically) with each other, explicitly on an equal footing. We report here particular such bases, which we have found in a computer search, and we indicate associated 33 representations. We conjecture that essentially all cyclic bases for su(3) may be obtained from these making appropriate circulant transformations, and that cyclic bases may also exist for other su(n), n > 3.
Organisation PPD , STFC
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Related Research Object(s): 12345526
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Language English (EN)
Type Details URI(s) Local file(s) Year
Preprint RAL Preprints, Phys Rev D 2014. RAL-P-2014-008.pdf 2014