Abstract
The physical-region analytic structure of theS-matrix is established on the basis of refined macrocausality, unitary and a weak supplementary analyticity assumption for a 3→3 process below the four-particle threshold, and away from points where two initial, or two final, four-momenta are colinear: the connectedS matrix is decomposed as a sum of contributions that generalize Feynman graphs and are associated with the various +α-Landau surfaces encountered (=surfaces of graphs with one internal line and triangle graphs). The property of “separation of singularities” in unitarity equations, which was used as a crucial ad hoc assumption in traditional derivations of related results inS-matrix theory, is obtained as a byproduct in the region considered.
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References
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Iagolnitzer, D. Macrocausality, unitary and physical-region structure of the multiparticleS matrix. Commun.Math. Phys. 77, 251–267 (1980). https://doi.org/10.1007/BF01269923
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DOI: https://doi.org/10.1007/BF01269923