Remarks on excited states of affine Toda solitons

TL;DR

This paper explores the excited states of affine Toda solitons by linking discrete modes to breathers bound to solitons, impacting the understanding of the spectrum and mass corrections in the theory.

Contribution

It introduces a reinterpretation of soliton excitations as breathers bound to solitons using the soliton-breather S-matrices, providing new insights into the spectrum.

Findings

Discrete excitation modes are reinterpreted as breathers bound to solitons.

Implications for the physical spectrum of affine Toda field theory.

Insights into semiclassical soliton mass corrections.

Abstract

The identification in affine Toda field theory of the quantum particle with the lowest breather allows us to re-interpret discrete modes of excitation of solitons as breathers bound to solitons, and thus to investigate them through the proposed soliton-breather S-matrices. There are implications for the physical spectrum and for the semiclassical soliton mass corrections.