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arXiv · 0903.2657

On the thermodynamic limit of the 6-vertex model

T. C. Dorlas·M. Samsonov
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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 $0<Δ<1$ using convexity arguments and for large negative $Δ$ using the Fixed Point Theory of appropriately defined contracting operator.

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BibTeXRIS

T. C. Dorlas, M. Samsonov. 2009-03-15. On the thermodynamic limit of the 6-vertex model. https://arxiv.org/abs/0903.2657

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