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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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