Quantum Chaos in a Yang-Mills-Higgs System

Abstract

We study the energy fluctuations of a spatially homogeneous SU(2) Yang-Mills-Higgs system. In particular, we analyze the nearest-neighbour spacing distribution which shows a Wigner-Poisson transition by increasing the value of the Higgs field in the vacuum. This transition is a clear quantum signature of the classical chaos-order transition of the system.

Comments: Latex, 13 pages, 2 figures (available upon request), accepted for publication in Modern Physics Letters A