dorsal/arxiv
View SchemaOn quantum corrections to classical solutions via generalized zeta-function
| Authors | Anatoly Zaitsev, Sergey Leble |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612043 |
| URL | https://arxiv.org/abs/quant-ph/0612043 |
Abstract
A general algebraic method of quantum corrections evaluations is presented. Quantum corrections to a few classical solutions of Landau-Ginzburg model (phi-in-quadro) are calculated in arbitrary dimensions. The Green function for heat equation with soliton potential is constructed by Darboux transformation. The generalized zeta-function is used to evaluate the functional integral and corrections to mass in quasiclassical approximation. Some natural generalizations for matrix equations are discussed in conclusion.
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"abstract": "A general algebraic method of quantum corrections evaluations is presented.\nQuantum corrections to a few classical solutions of Landau-Ginzburg model\n(phi-in-quadro) are calculated in arbitrary dimensions. The Green function for\nheat equation with soliton potential is constructed by Darboux transformation.\nThe generalized zeta-function is used to evaluate the functional integral and\ncorrections to mass in quasiclassical approximation. Some natural\ngeneralizations for matrix equations are discussed in conclusion.",
"arxiv_id": "quant-ph/0612043",
"authors": [
"Anatoly Zaitsev",
"Sergey Leble"
],
"categories": [
"quant-ph"
],
"title": "On quantum corrections to classical solutions via generalized zeta-function",
"url": "https://arxiv.org/abs/quant-ph/0612043"
},
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