Non-Integrability of Time-Dependent Spherically Symmetric Yang-Mills Equations

摘要

The integrability of time-dependent spherically symmetric Yang-Mills equations is studied using the Fermi-Pasta-Ulam method. The phase space of this system is shown to have no quasi-periodic motion specific for integrable systems. In particular, the well-known Wu-Yang static solution is unstable, so its vicinity in phase is the stochasticity region. 29 references, 8 figures. (Atomindex citation 18:086758)