Two- and three-particle scattering in the (1+1)-dimensional O(3) non-linear sigma model
Abstract
We study two- and three-particle scattering in the O(3) non-linear sigma model in 1+1 dimensions, focusing on the isospin-1 and isospin-2 channels for two particles, and the isospin-3 channel for three. We perform numerical simulations for four values of the physical volume, each at three lattice spacings, using a three-cluster generalization of the cluster update algorithm, and directly extrapolate the determined finite-volume energies to the continuum at fixed physical volume. Lattice results for two particles are then compared against exact predictions, obtained by combining analytic results for the scattering phase shifts and the (1+1)-dimensional two-particle formalism that relates these to finite-volume energies. Analogous comparisons in the three-particle sector are underway, making use of the three-particle relativistic-field-theory finite-volume formalism.
Keywords
Cite
@article{arxiv.2212.10623,
title = {Two- and three-particle scattering in the (1+1)-dimensional O(3) non-linear sigma model},
author = {Jorge Baeza-Ballesteros and Maxwell T. Hansen},
journal= {arXiv preprint arXiv:2212.10623},
year = {2022}
}
Comments
11 pages, 8 figures, contribution to the 39th International Symposium on Lattice Field Theory, 8th-13th of August 2022, Bonn, Germany