Based on a lecture given at the International Summer School for Theoretical Physics, University of Heidelberg.
On leave of absence from LFEN (Laboratório de FÃsica e Engenharia Nucleares), Sacavém, Portugal.
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References
Dashen,R., Gell-Mann,M.: Phys. Rev. Letters 17, 340 (1966).
See for example Chang,S. J., Dashen. R. F., O'Raifeartaigh,L.: Phys. Rev. 182, 1805 (1969) and references therein.
Gell-Mann,M.: Phys. Rev. 125, 1067 (1962) and Physics 1, 63 (1964).
Mendes. R. V., Ne'eman,Y.: J. Math. Phys. 11, 3371 (1970).
Joseph,A.: Comm. Math. Phys. 19, 106 (1970).
Mendes,R.V.: Univ. of Texas Thesis (1969).
We are particularly indebted to S.Sternberg, F. J.Gilman, B.Konstant and L.Ehrenpreis for some useful insights. See Nekman,Y.: Prépublications de la RCP 25, CNRS, Strasbourg 1971.
Mendes,R. V., Ne'eman,Y.: Phys. Letters 326, 696 (1970); see also Gomberoff, L., Ne'eman,Y.: Nuovo Cimento Letters 2, 129 (1971).
An application of this idea to the Lee-Weinberg-Zumino algebra of fields will be discussed in a forthcoming paper.
Roffman,E. H.: J. Math. Phys. 8, 1954 (1967).
Gell-Mann,M.: in Strong and Weak Interactions, A. Zichichi editor, Academic Press (New York & London 1966), p. 202.
The conventions and notation used for the S U (3) Clebsch-Gordan coefficients are those of Kuriyan,J.G., Lurié, D., Macfarlane,A.J.: J. Math. Phys. 8, 722 (1965).
Bebié,H., Leutwyler,H.: Phys. Rev. Letters 19, 618 (1967).
Akerlof,C.W. et al.: Phys. Rev. 163, 1482 (1967); C. Mistretta et al., Phys. Rev. Letters 20, 1523 (1968).
This result may be related to the suggestion that large angle hadron scattering may be described as a current-current interaction. See for example, Y. Ne'eman, Phys. Rev. 172, 1818 (1968) and references therein.
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Mendes, R.V., Ne'eman, Y. (1971). Representations of the local current algebra. In: Höhler, G. (eds) Springer Tracts in Modern Physics, Volume 60. Springer Tracts in Modern Physics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0044911
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