Communications in Mathematical Physics

, Volume 22, Issue 3, pp 238–252 | Cite as

Invariant tensors inSU (3)

  • P. Dittner
Article

Abstract

The construction of independentSU (3) tensors out of octets of fields is considered by investigating numerically invariantSU (3) tensors. A method of obtaining independent sets of these to any rank is discussed and also independent sets are explicitly displayed up to fifth rank. It is shown that this approach allows us to obtain relations among the invariant tensors, and useful new identities involving thed ijk andf ijk tensors are exhibited.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 

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References

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    Macfarlane, A. J., Sudbery, A., Weisz, P. H.: Commun. math. Phys.11, 77 (1968).Google Scholar
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    Barnes, K. J., Dittner, P.: To be published.Google Scholar
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    Gell-Mann, M.: The eightfold way. California Institute of Technology Report CTSL-20 (1961) unpublished; reproduced in: The eightfold way, M. Gell-Mann and Y. Ne'eman. New York: Benjamin Inc. 1964.Google Scholar

Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • P. Dittner
    • 1
  1. 1.Department of PhysicsQueen Mary CollegeLondonU.K.

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