Aspects of classical backgrounds and scattering for affine Toda theory on a half-line

Bowcock, P.; Perkins, M.

Abstract

In this paper we study various aspects of classical solutions to the affine Toda equations on a half-line with integrable boundary conditions. We begin by finding conditions that the theory has a stable vacuum by finding a Bogomolny bound on the energy, and analysing the possible singularities of the field at the boundary. Using these constraints and extensive numerical investigations we classify the vacuum configurations and reflection factors for Ar(1) Toda theories up to r = 5.

Citation

Bowcock, P., & Perkins, M. (2003). Aspects of classical backgrounds and scattering for affine Toda theory on a half-line. Journal of High Energy Physics, 2003(02), Article 016. https://doi.org/10.1088/1126-6708/2003/02/016

• Journal Article Type: Article
• Publication Date: Feb 13, 2003
• Deposit Date: Apr 25, 2007
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2003
• Issue: 02
• Article Number: 016
• DOI: https://doi.org/10.1088/1126-6708/2003/02/016
• Keywords: Field theories, Lower fimensions, Solitons monopoles, Instantons, Integrable field theories, Boundary quantum field theory.
• Public URL: https://durham-repository.worktribe.com/output/1596275