On the thermodynamic limit of the 6-vertex model

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
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 13:47
Last Modified:	16 Dec 2022 02:05
URI:	https://dair.dias.ie/id/eprint/511

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