• DOI:10.1007/JHEP10(2022)109
• Corpus ID: 251371440

Moduli spaces for PT-regularized solitons

@article{Correa2022ModuliSF,
  title={Moduli spaces for PT-regularized solitons},
  author={Francisco Correa and Andreas Fring and Takanobu Taira},
  journal={Journal of High Energy Physics},
  year={2022},
  volume={2022}
}

• F. Correa, A. Fring, Takanobu Taira
• Published 5 August 2022
• Mathematics, Physics
• Journal of High Energy Physics

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.