Quantum Signature of the Chaos-Order Transition in a Homogeneous SU(2) Yang-Mills-Higgs System

Details Quantum Signature of the Chaos-Order Transition in a Homogeneous SU(2) Yang-Mills-Higgs System Quantum Signature of the Chaos-Order Transition in a Homogeneous SU(2) Yang-Mills-Higgs System

1997-07-21

arxiv.org/abs/nucl-th/9707035v1

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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