Order-to-chaos transition in SU(2) Yang-Mills-Higgs theory
Tetsuji KawabeShonosuke OhtaPhysics Department, College of General Education, Kyushu University, Ropponmatsu, Fukuoka 810, Japan
1991en
ABI
Abstract
The onset of dynamical chaos is numerically studied in spherically symmetric time-dependent SU(2) Yang-Mills-Higgs theory. From the induction phenomena and the dependence of the maximal Lyapunov exponents on perturbations to the 't Hooft-Polyakov magnetic-monopole solution we find that there exists a critical value of the perturbation, below which the system is regular. Above this critical value, the phase transition from order to chaos takes place and thus the system exhibits a spatiotemporal chaos which generates a random inhomogeneity of the color fields. Various characteristics of a regular phase and a chaotic one and the configurations of the fields are investigated by means of the real time evolution of the system.
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