Exact s-Matrices for the Nonsimply-Laced Affine Toda Theories $a_{2n-1}^{(2)}$

TL;DR

This paper derives exact scattering matrices for nonsimply-laced affine Toda theories, accounting for quantum corrections and anomalous threshold effects, advancing the understanding of their integrable structure.

Contribution

It provides the first derivation of exact, factorized scattering matrices for the $a_{2n-1}^{(2)}$ affine Toda theories, including quantum and anomalous effects.

Findings

Derived exact scattering matrices for $a_{2n-1}^{(2)}$ theories.

Accounted for radiative mass spectrum distortion.

Addressed anomalous threshold singularities affecting poles.

Abstract

We derive the exact, factorized, purely elastic scattering matrices for the $a_{2n-1}^{(2)}$ family of nonsimply-laced affine Toda theories. The derivation takes into account the distortion of the classical mass spectrum by radiative correction, as well as modifications of the usual bootstrap assumptions since for these theories anomalous threshold singularities lead to a displacement of some single particle poles.