Dorlas, T. C. and Samsonov, M.
(2009)
*On the thermodynamic limit of the 6-vertex model.*
(Preprint)

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## Abstract

We give a rigorous treatment to the thermodynamic limit of the 6-vertex model. We prove that the unique solution of the Bethe-Ansatz equation exists and the distribution of the roots converges to a continuum measure. We solve this problem for 0 < ∆ < 1 using convexity arguments and for large negative ∆ using the Fixed Point Theory of appropriately defined contracting operator.

Item Type: | Article |
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Divisions: | School of Theoretical Physics > Preprints |

Date Deposited: | 19 Jun 2018 13:47 |

Last Modified: | 13 Jul 2018 11:07 |

URI: | http://dair.dias.ie/id/eprint/511 |

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