dorsal/arxiv
View SchemaEigenvector and eigenvalue problem for 3D bosonic model
| Authors | I. G. Korepanov, S. M. Sergeev |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9802012 |
| URL | https://arxiv.org/abs/solv-int/9802012 |
Abstract
In this paper we reformulate free field theory models defined on the rectangular $D+1$ dimensional lattices as $D+1$ evolution models. This evolution is in part a simple linear evolution on free (``creation'' and ``annihilation'') operators. Formal eigenvectors of this linear evolution can be directly constructed, and them play the role of the ``physical'' creation and annihilation operators. These operators being completed by a ``physical'' vacuum vector give the spectrum of the evolution operator, as well as the trace of the evolution operator give a correct expression for the partition function. As an example, Bazhanov -- Baxter's free bosonic model is considered.
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"abstract": "In this paper we reformulate free field theory models defined on the\nrectangular $D+1$ dimensional lattices as $D+1$ evolution models. This\nevolution is in part a simple linear evolution on free (``creation\u0027\u0027 and\n``annihilation\u0027\u0027) operators. Formal eigenvectors of this linear evolution can\nbe directly constructed, and them play the role of the ``physical\u0027\u0027 creation\nand annihilation operators. These operators being completed by a ``physical\u0027\u0027\nvacuum vector give the spectrum of the evolution operator, as well as the trace\nof the evolution operator give a correct expression for the partition function.\nAs an example, Bazhanov -- Baxter\u0027s free bosonic model is considered.",
"arxiv_id": "solv-int/9802012",
"authors": [
"I. G. Korepanov",
"S. M. Sergeev"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Eigenvector and eigenvalue problem for 3D bosonic model",
"url": "https://arxiv.org/abs/solv-int/9802012"
},
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"source": {
"execution_id": "3d814b9f-e5dc-47d0-b37c-cc068414ee49",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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