G_2^1 Affine Toda Field Theory: A Numerical Test of Exact S-Matrix results

Abstract

We present the results of a Monte--Carlo simulation of the $G_2^{(1)}$ Affine Toda field theory action in two dimensions. We measured the ratio of the masses of the two fundamental particles as a function of the coupling constant. Our results strongly support the conjectured duality with the $D_4^{(3)}$ theory, and are consistent with the mass formula of Delius et al.

arXiv comment5 pages, LaTeX, DTP-9223, DAMTP-92-41

References in corpus (3)

• Exact S-Matrices for Nonsimply-Laced Affine Toda Theories
• Duality in Quantum Toda theory and W-algebras
• Exact s-Matrices for the Nonsimply-Laced Affine Toda Theories $a_{2n-1}^{(2)}$

Cited by in corpus (14)

• On a generalised bootstrap principle
• Duality in Quantum Toda theory and W-algebras
• On the universal Representation of the Scattering Matrix of Affine Toda Field Theory
• The ultraviolet Behaviour of Integrable Quantum Field Theories, Affine Toda Field Theory
• A remark on the coupling-dependence in affine Toda field theories
• Quantum mass corrections for affine Toda solitons
• Non Relativistic Limit of Integrable QFT and Lieb-Liniger Models
• Hidden geometrical structures in integrable models
• Non-Hermitian multi-particle systems from complex root spaces
• Affine Toda field theories related to Coxeter groups of non-crystallographic type
• Non Relativistic Limit of Integrable QFT with fermionic excitations
• Quantum Mass corrections for C_2^(1) Affine Toda theory solitons
• Monte Carlo study of exact S-matrix duality in non simply laced affine Toda theories
• Boundary Reflection Matrix for $D_4^{(1)}$ Affine Toda Field Theory