Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models
We extend basic properties of two dimensional integrable models within the Algebraic Bethe Ansatz ap- proach to 2+1 dimensions and formulate the sufficient conditions for the commutativity of transfer matrices of different spectral parameters, in analogy with Yang–Baxter or tetrahedron equations. T...
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| Principais autores: | , , , |
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| Formato: | article |
| Idioma: | English |
| Publicado em: |
Nuclear Physics. B
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| Assuntos: | |
| Endereço do item: | https://repositorio.ufrn.br/jspui/handle/123456789/28971 |
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| Resumo: | We extend basic properties of two dimensional integrable models within the Algebraic Bethe Ansatz ap-
proach to 2+1 dimensions and formulate the sufficient conditions for the commutativity of transfer matrices of different spectral parameters, in analogy with Yang–Baxter or tetrahedron equations. The basic ingredient of our models is the R-matrix, which describes the scattering of a pair of particles over another pair of par-
ticles, the quark-anti-quark (meson) scattering on another quark-anti-quark state. We show that the Kitaev model belongs to this class of models and its R-matrix fulfills well-defined equations for integrability.
© 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3. |
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