Restricted Quantum Theory of Affine Toda Solitons

TL;DR

This paper develops a restricted quantum model for affine Toda solitons by quantising a reduced classical theory, revealing a semi-classical S-matrix involving the Euler dilogarithm, which advances understanding of quantum soliton interactions.

Contribution

It introduces a novel quantisation approach for affine Toda solitons based on a reduced classical theory, connecting classical solutions with quantum scattering data.

Findings

Semi-classical S-matrix involves the Euler dilogarithm

Quantisation of the reduced theory provides new insights into quantum soliton interactions

Advances the understanding of quantum affine Toda models

Abstract

We quantise the reduced theory obtained by substituting the soliton solutions of affine Toda theory into its symplectic form. The semi-classical S-matrix is found to involve the classical Euler dilogarithm.