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Linear Dependences and the Multiloop Veneziano Amplitude
Phys. Rev. D 3, 908 – Published 15 February, 1971
DOI: https://doi.org/10.1103/PhysRevD.3.908
Abstract
By using the identities of Brower and Weis, several apparent inconsistencies associated with twisting the Sciuto three-Reggeon vertex are clarified. By using these results, all linear dependences are eliminated from planar, nonplanar, and overlapping -loop amplitudes and shown to have only a minor effect. The Thorn projection operator is reduced to a hypergeometric function in the number operator and finally to a rational function. The equivalence of these techniques with the projected propagator of Gross and Schwarz and Ida is demonstrated.
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