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

TL;DR

This paper presents exact solutions for (2+1)-dimensional non-abelian gauge fields with Chern-Simons term, revealing plane wave behavior and stochastic dynamics when coupled with a Higgs field.

Contribution

It provides the first exact time-dependent solutions for non-abelian gauge fields with Chern-Simons mass and explores their stochastic regimes with Higgs interactions.

Findings

Exact non-abelian plane wave solutions found

Demonstration of stochastic behavior in gauge-Higgs systems

Analysis of limiting cases with constant and zero topological mass

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.