Regular and chaotic interactions of two BPS dyons at low energy

Details Regular and chaotic interactions of two BPS dyons at low energy Regular and chaotic interactions of two BPS dyons at low energy

2005-08-30

arxiv.org/abs/hep-th/0508233v2

Phys.Rev. D72 (2005) 105015

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 6 figures (v2 contains a few additional references, a new paragraph on intermittency and minor stylistic corrections

Scientific paper

10.1103/PhysRevD.72.105015

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.

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