Regular and chaotic interactions of two BPS dyons at low energy
arXiv:hep-th/0508233 · doi:10.1103/PhysRevD.72.105015
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.
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)
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