%0 Generic %1 Harrison2014SU3 %A Harrison, P. F. %A Krishnan, R. %A Scott, W. G. %D 2014 %K gluon, groups %T The SU(3) Algebra in a Cyclic Basis %U http://arxiv.org/abs/1407.8360 %X 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 \times 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.

@misc{Harrison2014SU3, 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, {\em 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 \times 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.}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Harrison, P. F. and Krishnan, R. and Scott, W. G.}, biburl = {https://www.bibsonomy.org/bibtex/2eaa769747c1dae0f560bcab09be31312/cmcneile}, citeulike-article-id = {13313244}, citeulike-linkout-0 = {http://arxiv.org/abs/1407.8360}, citeulike-linkout-1 = {http://arxiv.org/pdf/1407.8360}, day = 31, eprint = {1407.8360}, interhash = {d608b111c9ff884233f3843c472320a0}, intrahash = {eaa769747c1dae0f560bcab09be31312}, keywords = {gluon, groups}, month = jul, posted-at = {2014-08-01 10:03:49}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{The SU(3) Algebra in a Cyclic Basis}}, url = {http://arxiv.org/abs/1407.8360}, year = 2014 }