Duality Series for the Five-Point Function

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Abstract
The Feynman-like series proposed by Kikkawa, Sakita, and Virasoro, and based on duality, is considered for the planar diagrams of the five-point function. The "Born" term for this series is the Bardakci-Ruegg amplitude. It is found, by summing the series in the appropriate limit, that the amplitude has double-Regge behavior with the same coupling function as the Born term. Each output Regge trajectory is, however, modified by a correction term identical to that obtained for the four-point function and containing the correct elastic threshold. We indicate how this correction term arises by requiring, in analogy with perturbation theory, that the Born term of the four-point function (the Veneziano amplitude) satisfies elastic unitarity.