Confronting Dual Models of the Strong Interaction

TL;DR

This paper compares two classes of dual models for the strong interaction, analyzing their mathematical properties, differences, and similarities, especially focusing on their asymptotic behaviors and resonance spectra using quantum deformations.

Contribution

It introduces quantum deformations to analyze the Dual-log amplitude and compares it with DAMA across different kinematic regions, revealing new features and distinctions.

Findings

Dual-log amplitude exhibits unique asymptotic behavior.

Quantum deformations unveil new resonance spectrum features.

Differences between DAMA and Dual-log are characterized across kinematic regimes.

Abstract

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.