Abstract
InvariantSU(3) octet tensors are constructed in terms of λ matrices and applied to the problem of forming tensors from a single octet used repeatedly. Next a similar problem but with two octets is considered which demonstrates that different outer products of invariant tensors may be related. Finally, a theorem is proved which shows that the number of invariant tensors is essentially finite, and that relations of ranks greater than six exist on outer products of these tensors.
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References
Weinberg, S.: Phys. Rev.166, 1568 (1968).
Gasiorowicz, S., Geffen, D. A.: Rev. Mod. Phys.41, 531 (1969).
Gell-Mann, M., Oakes, R., Renner, B.: Phys. Rev.175, 2195 (1968).
Barnes, K. J., Dittner, P., Dondi, P. H.: Nucl. Phys. B31, 195 (1971).
Dittner, P.: Commun. math. Phys.22, 238 (1971).
Macfarlane, A. J., Sudbery, A., Weisz, P. H.: Commun. math. Phys.11, 77 (1968).
Macfarlane, A. J., Sudbery, A., Weisz, P. H.: Proc. Roy. Soc. London A314, 217 (1970).
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Dittner, P. Invariant tensors inSU(3). II. Commun.Math. Phys. 27, 44–52 (1972). https://doi.org/10.1007/BF01649658
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DOI: https://doi.org/10.1007/BF01649658