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The SU(3) algebra in a cyclic basis
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Harrison, P. F., Krishnan, R. and Scott, W. G. (2014) The SU(3) algebra in a cyclic basis. Physical Review D (Particles, Fields, Gravitation and Cosmology), Volume 90 (Number 1). doi:10.1103/PhysRevD.90.017502 ISSN 1550-7998.
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Official URL: http://dx.doi.org/10.1103/PhysRevD.90.017502
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 3×3 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.
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||
Journal or Publication Title: | Physical Review D (Particles, Fields, Gravitation and Cosmology) | ||||||
Publisher: | American Physical Society | ||||||
ISSN: | 1550-7998 | ||||||
Official Date: | 29 July 2014 | ||||||
Dates: |
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Volume: | Volume 90 | ||||||
Number: | Number 1 | ||||||
DOI: | 10.1103/PhysRevD.90.017502 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access |
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