dorsal/arxiv
View SchemaParticles and strings in a (2+1)-D integrable quantum model
| Authors | Igor G. Korepanov |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9801013 |
| URL | https://arxiv.org/abs/solv-int/9801013 |
| DOI | 10.2991/jnmp.2000.7.1.7 |
| Journal | J. Nonlinear Math. Phys. 7 (2000), no. 1, 94-119 |
Abstract
We give a review of some recent work on generalization of the Bethe ansatz in the case of $2+1$-dimensional models of quantum field theory. As such a model, we consider one associated with the tetrahedron equation, i.e. the $2+1$-dimensional generalization of the famous Yang--Baxter equation. We construct some eigenstates of the transfer matrix of that model. There arise, together with states composed of point-like particles analogous to those in the usual $1+1$-dimensional Bethe ansatz, new string-like states and string-particle hybrids.
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"abstract": "We give a review of some recent work on generalization of the Bethe ansatz in\nthe case of $2+1$-dimensional models of quantum field theory. As such a model,\nwe consider one associated with the tetrahedron equation, i.e. the\n$2+1$-dimensional generalization of the famous Yang--Baxter equation. We\nconstruct some eigenstates of the transfer matrix of that model. There arise,\ntogether with states composed of point-like particles analogous to those in the\nusual $1+1$-dimensional Bethe ansatz, new string-like states and\nstring-particle hybrids.",
"arxiv_id": "solv-int/9801013",
"authors": [
"Igor G. Korepanov"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.2991/jnmp.2000.7.1.7",
"journal_ref": "J. Nonlinear Math. Phys. 7 (2000), no. 1, 94-119",
"title": "Particles and strings in a (2+1)-D integrable quantum model",
"url": "https://arxiv.org/abs/solv-int/9801013"
},
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