Quantum field fluctuations and chaotic dynamics of model Yang-Mills system

TL;DR

This paper investigates how quantum fluctuations affect the chaotic dynamics of non-abelian gauge fields, showing they can induce order or leave chaos unaffected depending on coupling ratios.

Contribution

It demonstrates that quantum fluctuations can induce order in chaotic Yang-Mills systems and identifies conditions under which chaos persists.

Findings

Quantum fluctuations can generate order in chaotic gauge field systems.

Quantum effects influence Higgs potential and symmetry breaking.

Chaos remains unaffected if the coupling ratio exceeds a critical value.

Abstract

On example of the model field system we demonstrate that quantum fluctuations of non-abelian gauge fields leading to radiative corrections to Higgs potential and spontaneous symmetry breaking can generate order region in phase space of inherently chaotic classical field system. We demonstrate on the example of another model field system that quantum fluctuations do not influence on the chaotic dynamics of non-abelian Yang--Mills fields if the ratio of bare coupling constants of Yang--Mills and Higgs fields is larger then some critical value. This critical value is estimated.