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Regular and chaotic interactions of two BPS dyons at low energy

Ricardo Fariello·Hilmar Forkel·Gastao Krein
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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.

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Ricardo Fariello, Hilmar Forkel, Gastao Krein. 2005-12-07. Regular and chaotic interactions of two BPS dyons at low energy. https://doi.org/10.1103/physrevd.72.105015

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