Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1997-07-21
Phys.Atom.Nucl.61:1878-1881,1998; Yad.Fiz.61:1990-1993,1998
Physics
Nuclear Physics
Nuclear Theory
Latex, 10 pages, 1 table, talk to the VIII International Conference on Symmetry Methods in Physics, 27 July -- 2 August 1997,
Scientific paper
We analyze a spatially homogeneous SU(2) Yang-Mills-Higgs system both in classical and 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. Then, we study the nearest-neighbour spacing distribution of the energy levels, 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.
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