Relativistic Invariance and Local Fields

  • P. T. Matthews
Conference paper
Part of the Acta Physica Austriaca book series (FEWBODY, volume 3/1966)


These lectures were supposed to be about Ũ(12) [1]. I shall only mention Ũ(12) towards the end. What I wish to do is to study in more general terms the relationship between internal symmetries and relativistic invariance, and then to discuss in this light the achievements and also the limitations of Ũ(12) and related theories. The work I am reporting was done in collaboration with Professor G. Feldman. Much of it is already in the literature. In particular, a great deal of what I have to say comes very directly from extremely elegant and informative papers of Weinberg [2].


Local Field Relativistic Invariance Internal Symmetry Poincare Group Auxiliary Operator 
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  1. 1.
    A. Salam, R. Delbourgo, J. Strathdee, Proc. Roy. Soc. A. 284, 146 (1965);MathSciNetADSCrossRefGoogle Scholar
  2. B. Sakita and K. Wali, Phys. Rev. 139, B1355 (1965).MathSciNetADSCrossRefGoogle Scholar
  3. 2.
    S. Weinberg, Phys. Rev. 133, B1318 (1964);MathSciNetADSCrossRefGoogle Scholar
  4. S. Weinberg, Phys. Rev. 139, B597 (1965).MathSciNetADSCrossRefGoogle Scholar
  5. 3.
    F. Gürsey and L. A. Radicati, Phys. Rev. Letters 13, 173 (1964);ADSCrossRefGoogle Scholar
  6. B. Sakita, Phys. Rev. Letters 13, 643 (1964);MathSciNetADSCrossRefGoogle Scholar
  7. B. Sakita, Phys. Rev. 136, B1756 (1964).MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Wien 1966

Authors and Affiliations

  • P. T. Matthews
    • 1
  1. 1.Imperial CollegeLondonUK

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