Dynamics of Periodic Monopoles
High Energy Physics - Theory
2011-03-28 v2
Abstract
BPS monopoles which are periodic in one of the spatial directions correspond, via a generalized Nahm transform, to solutions of the Hitchin equations on a cylinder. A one-parameter family of solutions of these equations, representing a geodesic in the 2-monopole moduli space, is constructed numerically. It corresponds to a slow-motion dynamical evolution, in which two parallel monopole chains collide and scatter at right angles.
Cite
@article{arxiv.0901.4428,
title = {Dynamics of Periodic Monopoles},
author = {Derek Harland and R. S. Ward},
journal= {arXiv preprint arXiv:0901.4428},
year = {2011}
}
Comments
12 pages, 1 figure More details of numerical methods included