# On the six-vertex model's free energy

Karol Kajetan Kozlowski
Dmitry Krachun
Tatiana Tikhonovskaia
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Abstract:

In this paper, we provide new proofs of the existence and the condensation of Bethe roots for the Bethe Ansatz equation associated with the six-vertex model with periodic boundary conditions and an arbitrary density of up arrows (per line) in the regime \$\Delta<1\$. As an application, we provide a short, fully rigorous computation of the...More

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