dorsal/arxiv
View SchemaRenormalization Group in Quantum Mechanics
| Authors | P. Gosselin, H. mohrbach |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0004008 |
| URL | https://arxiv.org/abs/quant-ph/0004008 |
| DOI | 10.1088/0305-4470/33/36/306 |
| Journal | J.Phys.A:Math.Gen.33(2000) 6343-6355 |
Abstract
We establish the renormalization group equation for the running action in the context of a one quantum particle system. This equation is deduced by integrating each fourier mode after the other in the path integral formalism. It is free of the well known pathologies which appear in quantum field theory due to the sharp cutoff. We show that for an arbitrary background path the usual local form of the action is not preserved by the flow. To cure this problem we consider a more general action than usual which is stable by the renormalization group flow. It allows us to obtain a new consistent renormalization group equation for the action.
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"abstract": "We establish the renormalization group equation for the running action in the\ncontext of a one quantum particle system. This equation is deduced by\nintegrating each fourier mode after the other in the path integral formalism.\nIt is free of the well known pathologies which appear in quantum field theory\ndue to the sharp cutoff. We show that for an arbitrary background path the\nusual local form of the action is not preserved by the flow. To cure this\nproblem we consider a more general action than usual which is stable by the\nrenormalization group flow. It allows us to obtain a new consistent\nrenormalization group equation for the action.",
"arxiv_id": "quant-ph/0004008",
"authors": [
"P. Gosselin",
"H. mohrbach"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/33/36/306",
"journal_ref": "J.Phys.A:Math.Gen.33(2000) 6343-6355",
"title": "Renormalization Group in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0004008"
},
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