The Algebra Associated with the Vector and Axial-Vector Current

  • L. A. Radicati
Part of the Scottish Universities’ Summer School book series (SUSS)

Abstract

THESE lectures do not cover the whole area which goes under the name of “current algebras” Due to lack of time I have been obliged to leave out a number of topics, unfortunately even some which are very interesting.

Keywords

Hexagonal Univer Summing 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    For a summary of the sum rules of atomic spectroscopy see E. U. Condon and G. H. Shortley. 1935. The Theory of Atomic Spectra (Cambridge Univ. Press).Google Scholar
  2. 2.
    L. H. Thomas. 1925. Naturwiss. 13, 627; W. Kuhn, Zeits. f. Physik, 33, 408; see also E. U. Condon and G. H. Shortley quoted in ref. 1 and H. A. Bethe and E. E. Salpeter, Hand, der Phys. 35, 341.CrossRefGoogle Scholar
  3. 3.
    W. Heisenberg. 1925. Zeits. f. Physik, 33, 879.CrossRefGoogle Scholar
  4. 4.
    H. A. Bethe and J. S. Levinger. 1950. Phys. Rev. 78, 115; see also O. Rojo and J. S. Levinger. 1961. Phys. Rev. 123, 2177.CrossRefGoogle Scholar
  5. 5.
    J. S. Levinger. 1960. Nuclear Photodisintegration (Oxford Univ. Press).Google Scholar
  6. 6.
    M. Gell-Mann. 1962. Phys. Rev. 125, 1067.CrossRefGoogle Scholar
  7. 7.
    See ref. 6 and also Y. Ne’eman. 1961. Nucl. Phys. 26 CrossRefGoogle Scholar
  8. 8.
    N. Cabibbo. 1963. Phys. Rev. Lett. 10, 531.CrossRefGoogle Scholar
  9. 9.
    M. Gell-Mann. 1964. Physics, 1, 63; see also L. A. Radicati. 1966. Proceedings of the International School “Ettore Majorana”. (To be published). 10. S. Fubini and G. Furlan. 1965. Physics, 1, 229.Google Scholar
  10. 11.
    M. Ademollo and R. Gatto. 1965. Phys. Rev. Lett. 13, 264.CrossRefGoogle Scholar
  11. 12.
    M. Gell-Mann. 1964. Phys. Lett. 8, 214.CrossRefGoogle Scholar
  12. 13.
    F. Görsey and L. A. Radicati. 1964. Phys. Rev. Lett. 13, 173.CrossRefGoogle Scholar
  13. 14.
    J. Schwinger. 1959. Phys. Rev. Lett. 3, 296.CrossRefGoogle Scholar
  14. 15.
    S. L. Adler. 1965. Phys. Rev. Lett. 14, 1051.CrossRefGoogle Scholar
  15. 16.
    W. I. Weisberger. 1965. Phys. Rev. Lett. 14, 1067; 1966. Phys. Rev. 143, 1302.CrossRefGoogle Scholar
  16. 17.
    S. L. Adler. 1965. Phys. Rev. 141, 736.CrossRefGoogle Scholar
  17. 18.
    S. Fubini, G. Furlan and C. Rossetti. 1965. Nuovo Cim. 40A, 1171.CrossRefGoogle Scholar
  18. 19.
    Quantum Field Theory Seminar, unpublished, Princeton 1966.Google Scholar
  19. 20.
    S. L. Adler. 1964. Phys. Rev. 135, B963; see also ref. 17.CrossRefGoogle Scholar
  20. 21.
    Y. Nambu. 1960. Phys. Rev. Lett. 9, 380; M. Gell-Mann and M. Levy. 1960. Nuovo Cim. 16, 705.CrossRefGoogle Scholar
  21. 22.
    T. D. Lee and C. S. Wu. 1965. Annual Review of Nuclear Science, 15, 381.CrossRefGoogle Scholar
  22. 23.
    I. S. Gernstein. 1965. Phys. Rev. Lett. 16, 114.CrossRefGoogle Scholar
  23. 24.
    F. Görsey, A. Pais and L. A. Radicati. 1964. Phys. Rev. Lett. 13, 299.CrossRefGoogle Scholar
  24. 25.
    N. Cabibbo and L. A. Radicati. 1966. Phys. Lett. 19, 697.CrossRefGoogle Scholar
  25. 26.
    I. S. Gernstein and B. W. Lee. 1966. Phys. Rev. 144, 1142.CrossRefGoogle Scholar
  26. 27.
    R. Gatto, L. Maiani and G. Preparata. 1966. Phys. Rev. Lett. 16, 377.CrossRefGoogle Scholar
  27. 28.
    N. Cabibbo and H. Ruegg. 1966. Phys. Lett. 22, 85.CrossRefGoogle Scholar
  28. 29.
    S. Adler, Proceedings of the Argonne Conference on Weak Interactions, 1965.Google Scholar
  29. 30.
    C. G. Callan and S. B. Treiman. 1966. Phys. Rev. Lett. 16, 153.CrossRefGoogle Scholar
  30. 31.
    M. Suzuki. 1966. Phys. Rev. Lett. 16, 212; V. S. Mathur, S. Okubo and L. K. Pandit. 1966. Phys. Rev. Lett. 16, 371; V. S. Mathur, L. K. Pandit and R. E. Marshak. 1966. Phys. Rev. Lett. 16, 974.CrossRefGoogle Scholar
  31. 32.
    S. Weinberg. 1966. Phys. Rev. Lett. 17, 336.CrossRefGoogle Scholar
  32. 33.
    M. Suzuki. 1965. Phys. Rev. Lett. 15, 986; H. Sugawara. 1965. Phys. Rev. Lett. 15, 870, 997 (E). These are the first two papers on the subject; many others have been published since.CrossRefGoogle Scholar
  33. 34.
    S. L. Adler, Proceedings of the Argonne Conference on Weak Interactions, 1965; S. L. Adler and F. J. Gilman. 1966. Phys. Rev. 152, 1460.Google Scholar
  34. 35.
    Riazuddin and B. W. Lee. 1966. Phys. Rev. 146, 1202.CrossRefGoogle Scholar
  35. 36.
    G. Furlan, R. Jengo and E. Remiddi. 1966. Nuovo Cim. 44A, 427.CrossRefGoogle Scholar
  36. 37.
    P. Dennery. 1961. Phys. Rev. 124, 2000; see also refs. 35 and 36.CrossRefGoogle Scholar
  37. 38.
    B. W. Lee. 1965. Phys. Rev. Lett. 14, 676.CrossRefGoogle Scholar
  38. 39.
    R. F. Dashen and M. Gell-Mann. 1965. Phys. Lett. 17, 145.CrossRefGoogle Scholar
  39. 40.
    F. J. Gilman and H. J. Schnitzer. 1966. Phys. Rev. 150, 1362.CrossRefGoogle Scholar
  40. 41.
    L. H. Chan et al. 1966. Phys. Rev. 141, 1298.CrossRefGoogle Scholar
  41. 42.
    C. W. Akerloff. 1966. Phys. Rev. Lett. 16, 147.CrossRefGoogle Scholar
  42. 43.
    R. F. Dashen and M. Gell-Mann. 1966. Phys. Rev. Lett. 17, 340.CrossRefGoogle Scholar
  43. 44.
    S. Fubini. 1966. Nuovo Cim. 43, 475; S. Fubini and G. Segrè. 1966. Nuovo Cim. 45, 641.CrossRefGoogle Scholar
  44. 45.
    M. A. Beg. 1966. Phys. Rev. Lett. 17, 333.CrossRefGoogle Scholar
  45. 46.
    B. Renner. 1966. Lectures on Current Algebras, R.EL/R 126.Google Scholar
  46. 47.
    V. De Alfaro, S. Fubini, G. Furlan and C. Rossetti. 1966. Phys. Lett. 21, 576.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1974

Authors and Affiliations

  • L. A. Radicati
    • 1
  1. 1.Scuola Normale SuperiorePisaItaly

Personalised recommendations