Stability and chaos in a classical Yang-Mills-Higgs system

Abstract

A motivation for looking at chaos in the classical realizations of the Yang-Mills or Yang Mills augmented by Higgs equations is the importance of this system in the initial (in)stability at big bang, since in the initial stages all interactions were of the same strength and were based on non abelian gauge theories, of which the SU(2) Yang Mills is a first example. In this study we consider the following two particle effective Hamiltonian suggested by Biro, Matinyan and Müller: H=px2+py2-b<inf>2</inf>y2/2/2 -x2y2+1+1/2a2x2+b2y2). © 2020 Elsevier B.V., All rights reserved.