dorsal/arxiv
View SchemaQuantum Signature of the Chaos-Order Transition in a Homogeneous SU(2) Yang-Mills-Higgs System
| Authors | Luca Salasnich |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9707035 |
| URL | https://arxiv.org/abs/nucl-th/9707035 |
| Journal | Phys.Atom.Nucl.61:1878-1881,1998; Yad.Fiz.61:1990-1993,1998 |
Abstract
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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"abstract": "We analyze a spatially homogeneous SU(2) Yang-Mills-Higgs system both in\nclassical and quantum mechanics. By using the Toda criterion of the Gaussian\ncurvature we find a classical chaos-order transition as a function of the Higgs\nvacuum, the Yang-Mills coupling constant and the energy of the system. Then, we\nstudy the nearest-neighbour spacing distribution of the energy levels, which\nshows a Wigner-Poisson transition by increasing the value of the Higgs field in\nthe vacuum. This transition is a clear quantum signature of the classical\nchaos-order transition of the system.",
"arxiv_id": "nucl-th/9707035",
"authors": [
"Luca Salasnich"
],
"categories": [
"nucl-th",
"chao-dyn",
"hep-th",
"nlin.CD"
],
"journal_ref": "Phys.Atom.Nucl.61:1878-1881,1998; Yad.Fiz.61:1990-1993,1998",
"title": "Quantum Signature of the Chaos-Order Transition in a Homogeneous SU(2) Yang-Mills-Higgs System",
"url": "https://arxiv.org/abs/nucl-th/9707035"
},
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