On the thermodynamic limit of the 6-vertex model

Details On the thermodynamic limit of the 6-vertex model On the thermodynamic limit of the 6-vertex model

2009-03-15

arxiv.org/abs/0903.2657v1

Physics

Condensed Matter

Statistical Mechanics

23 pages, 1 figure

Scientific paper

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 $0<\Delta<1$ using convexity arguments and for large negative $\Delta$ using the Fixed Point Theory of appropriately defined contracting operator.

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