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A proof of the crossing property for two-particle amplitudes in general quantum field theory

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Abstract

In the framework of the ℒ.l.Z. formalism, the crossing property is proved on the mass shell for amplitudes involving two incoming and two outgoing stable particles with arbitrary masses. Any couple of physical regions in the (s, t, u)-plane corresponding to crossed processes are shown to be connected by a certain domain of analyticity. For every negative value oft, the amplitude is analytic in the cuts-plane outside of a large circle.

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Authors and Affiliations

  1. C.E.N. Saclay, Gif-sur-Yvette, France

    J. Bros

  2. Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France

    H. Epstein

  3. C.E.R.N., Geneva, Switzerland

    V. Glaser

  4. C.N.R.S., France

    H. Epstein

Authors
  1. J. Bros
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  2. H. Epstein
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  3. V. Glaser
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Bros, J., Epstein, H. & Glaser, V. A proof of the crossing property for two-particle amplitudes in general quantum field theory. Commun.Math. Phys. 1, 240–264 (1965). https://doi.org/10.1007/BF01646307

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  • DOI: https://doi.org/10.1007/BF01646307

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