Wilson operator products in nonlinearly realized theories
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- (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
- (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.MathSciNetADSCrossRefMATHGoogle Scholar
- (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).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
© Società Italiana di Fisica 1973