dorsal/arxiv
View SchemaA novel variational approach for Quantum Field Theory: example of study of the ground state and phase transition in Nonlinear Sigma Model
| Authors | Yuriy Mishchenko, Chueng-Ryong Ji |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410197 |
| URL | https://arxiv.org/abs/quant-ph/0410197 |
| DOI | 10.1142/S0217751X05026819 |
| Journal | Int.J.Mod.Phys. A20 (2005) 3488-3494 |
Abstract
We discuss a novel form of the variational approach in Quantum Field Theory in which the trial quantum configuration is represented directly in terms of relevant expectation values rather than, e.g., increasingly complicated structure from Fock space. The quantum algebra imposes constraints on such expectation values so that the variational problem is formulated here as an optimization under constraints. As an example of application of such approach we consider the study of ground state and critical properties in a variant of nonlinear sigma model.
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"abstract": "We discuss a novel form of the variational approach in Quantum Field Theory\nin which the trial quantum configuration is represented directly in terms of\nrelevant expectation values rather than, e.g., increasingly complicated\nstructure from Fock space. The quantum algebra imposes constraints on such\nexpectation values so that the variational problem is formulated here as an\noptimization under constraints. As an example of application of such approach\nwe consider the study of ground state and critical properties in a variant of\nnonlinear sigma model.",
"arxiv_id": "quant-ph/0410197",
"authors": [
"Yuriy Mishchenko",
"Chueng-Ryong Ji"
],
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"quant-ph"
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"doi": "10.1142/S0217751X05026819",
"journal_ref": "Int.J.Mod.Phys. A20 (2005) 3488-3494",
"title": "A novel variational approach for Quantum Field Theory: example of study of the ground state and phase transition in Nonlinear Sigma Model",
"url": "https://arxiv.org/abs/quant-ph/0410197"
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