Monte Carlo study of exact S-matrix duality in non simply laced affine Toda theories

TL;DR

This paper investigates the non-perturbative duality in non-simply laced affine Toda theories using Monte Carlo simulations, confirming the exact S-matrix predictions for mass ratios.

Contribution

It provides the first Monte Carlo validation of the S-matrix duality predictions in non-simply laced affine Toda theories.

Findings

Monte Carlo data agrees with exact S-matrix predictions

Duality accurately predicts mass ratio behavior

Classical spectrum consists of two massive scalar particles

Abstract

The $(g_2^{(1)}, d_4^{(3)})$\ pair of non simply laced affine Toda theories is studied from the point of view of non perturbative duality. The classical spectrum of each member is composed of two massive scalar particles. The exact S-matrix prediction for the dual behaviour of the coupling dependent mass ratio is found to be in strong agreement with Monte Carlo data.