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Lettere al Nuovo Cimento (1971-1985)

, Volume 7, Issue 17, pp 902–904 | Cite as

Wilson operator products in nonlinearly realized theories

  • C. J. Isham
  • Abdus Salam
  • J. Strathdee
Article

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References

  1. (1).
    L is not chiral invariant. For the purposes of this note, chirality is of no primary significance; the chiral invariant LagrangianL s simply provides an example in a localizable formulation of nonlinear theories we wish to discuss. (SeeH. Lehmann andH. Trute: preprint DESY/8 (1972)).Google Scholar
  2. (2).
    M. K. Volkov:Ann. of Phys.,49, 202 (1968), who elucidates the connection between localizability and the entire-function character of the nonpolynomiality in the Lagrangian.ADSCrossRefGoogle Scholar
  3. (3).
    It is desirable to concentrate on localizable theories, not only because of the appearance of entire functions but also because of a theorem ofEpstein, Glaser andMartin (Comm. Math. Phys.,13, 257 (1969)) about localizable theories in general, which we feel deserves to be better known. The theorem states that on-shell scattering amplitudes in all localizable theories are Froissart-bounded. Their axiomatic proof, unfortunately, does not give a calculational procedure to guarantee the attaining of such a bound.MathSciNetADSCrossRefzbMATHGoogle Scholar
  4. (4).
    H. Lehmann andK. Pohlmeyer: inNonpolynomial Lagrangians, Renormalization and Gravity, 1971 Coral Gables Conference, Vol.1 (1971), p. 60;J. G. Taylor:Nonpolynomial Lagrangians, Renormalization and Gravity, 1971 Coral Gables Conference, Vol.1 (1971), p. 42;K. Pohlmeyer:Comm. Math. Phys.,20, 101 (1971).Google Scholar
  5. (5).
    W. Zimmerman: inLectures on Elementary Particles and Quantum Field Theory, Proceedings of the Conference at Brandeis, 1970, Vol.1, edited byS. Deser, M. Grisaru andH. Pendleton (Cambridge, Mass., 1970).Google Scholar

Copyright information

© Società Italiana di Fisica 1973

Authors and Affiliations

  • C. J. Isham
    • 1
  • Abdus Salam
    • 1
    • 2
  • J. Strathdee
    • 2
  1. 1.Imperial CollegeLondon
  2. 2.International Centre for Theoretical PhysicsTrieste

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