We analyze a spatially homogeneous SU(2) Yang-Mills-Higgs system both in classical and in quantum mechanics. By using the Toda criterion of the Gaussian curvature, we find a classical chaos-order transition as a function of the Higgs vacuum, the Yang-Mills coupling constant, and the energy of the system. We then study the nearest neighbor spacing distribution of the energy levels, which shows a Wigner-Poisson transition by increasing the value of the Higgs held in the vacuum. This transition is a quantum signature of the classical chaos-order transition of the system.
Quantum signature of the chaos-order transition in a homogeneous SU(2) Yang-Mills-Higgs system
SALASNICH, LUCA
1998
Abstract
We analyze a spatially homogeneous SU(2) Yang-Mills-Higgs system both in classical and in quantum mechanics. By using the Toda criterion of the Gaussian curvature, we find a classical chaos-order transition as a function of the Higgs vacuum, the Yang-Mills coupling constant, and the energy of the system. We then study the nearest neighbor spacing distribution of the energy levels, which shows a Wigner-Poisson transition by increasing the value of the Higgs held in the vacuum. This transition is a quantum signature of the classical chaos-order transition of the system.
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