Proof of the Mandelstam Representation for Every Order in Perturbation Theory
- 1 March 1961
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 121 (5) , 1567-1576
- https://doi.org/10.1103/physrev.121.1567
Abstract
It is proved that every term in the perturbation series for a scattering amplitude satisfies the Mandelstam representation when there are no anomalous thresholds. The absence of anomalous thresholds can be investigated from a few low-order diagrams, or reduced diagrams. Under certain conditions it is shown that their absence in fourth order ensures their absence in every order.Keywords
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