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Scattering formalism for non-localizable fields

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Abstract

We consider the theory of a non-localizable relativistic quantum field. Nonlocalizability means that the field is not a tempered distribution, but increases strongly for large momenta. Local commutativity can then not be satisfied. Instead we assume the existence of Green's functions with the usual analyticity properties. We show that in such a theory theS-matrix can be defined, and its elements can be expressed in terms of the fields by the usual reduction formulae.

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Authors and Affiliations

  1. SIN, Zürich

    O. Steinmann

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  1. O. Steinmann
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Steinmann, O. Scattering formalism for non-localizable fields. Commun.Math. Phys. 18, 179–194 (1970). https://doi.org/10.1007/BF01649431

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  • DOI: https://doi.org/10.1007/BF01649431

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