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Moduli spaces for PT-regularized solitons

Correa, F., Fring, A. ORCID: 0000-0002-7896-7161 & Taira, T. (2022). Moduli spaces for PT-regularized solitons. Journal of High Energy Physics, 2022(10), 109. doi: 10.1007/jhep10(2022)109

Abstract

We construct and analyse the moduli space (collective coordinates) for a classical field theory in 1 + 1 dimensions that possesses complex stable multi-soliton solutions with real energies when PT-regularized. For the integrable Bullough-Dodd model we show, by comparing with the exact solutions, that a one-dimensional moduli space captures well the main feature of the centre of mass motion of the one and two-soliton solutions. We demonstrate that even the time-delay and spatial displacements occurring for the one-soliton constituents in a multi-soliton scattering process can be extracted from a moduli space analysis. We propose a two dimensional moduli space to describe the newly found triple bouncing scattering amongst the constituents of a dark two double peakon scattering.

Publication Type: Article
Additional Information: This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Publisher Keywords: Integrable Field Theories, Solitons Monopoles and Instantons, Space-Time Symmetries
Departments: School of Science & Technology > Mathematics
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