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Wilson operator products in nonlinearly realized theories

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Lettere al Nuovo Cimento (1971-1985)

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References

  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)).

  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.

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  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.

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  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).

  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).

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Authors and Affiliations

  1. Imperial College, London

    C. J. Isham & Abdus Salam

  2. International Centre for Theoretical Physics, Trieste

    Abdus Salam & J. Strathdee

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  1. C. J. Isham
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  2. Abdus Salam
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  3. J. Strathdee
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Isham, C.J., Salam, A. & Strathdee, J. Wilson operator products in nonlinearly realized theories. Lett. Nuovo Cimento 7, 902–904 (1973). https://doi.org/10.1007/BF02727515

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