Non-abelian plane waves and stochastic regimes for (2+1)-dimensional gauge field models with Chern-Simons term

Abstract

An exact time-dependent solution of field equations for the 3-d gauge field model with a Chern-Simons (CS) topological mass is found. Limiting cases of constant solution and solution with vanishing topological mass are considered. After Lorentz boost, the found solution describes a massive nonlinear non-abelian plane wave. For the more complicate case of gauge fields with CS mass interacting with a Higgs field, the stochastic character of motion is demonstrated.

LaTeX 2.09, 13 pages, 11 eps figures

References in corpus (1)

• Partially Dual variables in SU(2) Yang-Mills Theory

Cited by in corpus (2)

• Time dependent non-Abelian waves and their stochastic regimes for gauge fields coupled to external sources
• Classical solutions for Yang-Mills-Chern-Simons field coupled to an external source