Regular and chaotic interactions of two BPS dyons at low energy
Abstract
We identify and analyze quasiperiodic and chaotic motion patterns in the time evolution of a classical, non-Abelian Bogomol'nyi-Prasad-Sommerfield (BPS) dyon pair at low energies. This system is amenable to the geodesic approximation which restricts the underlying SU(2) Yang-Mills-Higgs dynamics to an eight-dimensional phase space. We numerically calculate a representative set of long-time solutions to the corresponding Hamilton equations and analyze quasiperiodic and chaotic phase space regions by means of Poincare surfaces of section, high-resolution power spectra and Lyapunov exponents. Our results provide clear evidence for both quasiperiodic and chaotic behavior and characterize it quantitatively. Indications for intermittency are also discussed.
Cite
@article{arxiv.hep-th/0508233,
title = {Regular and chaotic interactions of two BPS dyons at low energy},
author = {Ricardo Fariello and Hilmar Forkel and Gastao Krein},
journal= {arXiv preprint arXiv:hep-th/0508233},
year = {2007}
}
Comments
22 pages, 6 figures (v2 contains a few additional references, a new paragraph on intermittency and minor stylistic corrections to agree with the published version)