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Confronting Dual Models of the Strong Interaction

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arxiv 2008.11418 v2 pith:RTTE23W5 submitted 2020-08-26 hep-ph

Confronting Dual Models of the Strong Interaction

classification hep-ph
keywords dualamplitudesasymptoticclassesdual-logfixedamplitudeanalyticity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Studies of the mathematical properties of Regge-pole and dual amplitudes are important both for their applications in high energy phenomenology and in their generalizations to strings, superstrings, branes, and other theoretical developments. In the present paper, we investigate the similarities and differences between two classes of dual amplitudes: one with Mandelstam analyticity (DAMA) and another one with logarithmic trajectories (Dual-log). By using quantum (q-) deformations, new features of Dual-log amplitude are unveiled, in particular those concerning its asymptotic behavior and the spectrum of resonances. The two classes of dual amplitudes are compared in various kinematic regions: at fixed transferred momenta asymptotic, fixed angle asymptotic, and in the resonance region.

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    A chiral composite linear dilaton worldsheet action reproduces Mandelstam's generalized Veneziano amplitudes and yields new partially crossing-symmetric higher-point and closed-string amplitudes.