On the thermodynamic limit of the 6-vertex model

2009/03/15 by T. C. Dorlas, Dorlas, T. C., Maxim Samsonov +1
Mathematics · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Physical sciences #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.0903.2657

openalex publication_date 2009/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

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