dorsal/arxiv
View SchemaUnified algebraic Bethe ansatz for two-dimensional lattice models
| Authors | M. J. Martins |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9901002 |
| URL | https://arxiv.org/abs/solv-int/9901002 |
| DOI | 10.1103/PhysRevE.59.7220 |
Abstract
We develop a unified formulation of the quantum inverse scattering method for lattice vertex models associated to the non-exceptional $A^{(2)}_{2r}$, $A^{(2)}_{2r-1}$, $B^{(1)}_r$, $C^{(1)}_r$, $D^{(1)}_{r+1}$ and $D^{(2)}_{r+1}$ Lie algebras. We recast the Yang-Baxter algebra in terms of novel commutation relations between creation, annihilation and diagonal fields. The solution of the $D^{(2)}_{r+1}$ model is based on an interesting sixteen-vertex model which is solvable without recourse to a Bethe ansatz.
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"date_created": "2026-03-02T18:02:51.279000Z",
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"abstract": "We develop a unified formulation of the quantum inverse scattering method for\nlattice vertex models associated to the non-exceptional $A^{(2)}_{2r}$,\n$A^{(2)}_{2r-1}$, $B^{(1)}_r$, $C^{(1)}_r$, $D^{(1)}_{r+1}$ and $D^{(2)}_{r+1}$\nLie algebras. We recast the Yang-Baxter algebra in terms of novel commutation\nrelations between creation, annihilation and diagonal fields. The solution of\nthe $D^{(2)}_{r+1}$ model is based on an interesting sixteen-vertex model which\nis solvable without recourse to a Bethe ansatz.",
"arxiv_id": "solv-int/9901002",
"authors": [
"M. J. Martins"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1103/PhysRevE.59.7220",
"title": "Unified algebraic Bethe ansatz for two-dimensional lattice models",
"url": "https://arxiv.org/abs/solv-int/9901002"
},
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