Functional relations for the six vertex model with domain wall boundary conditions

TL;DR

This paper uses the Yang-Baxter algebra to derive a functional relation for the partition function of the six vertex model with domain wall boundary conditions, analyzing small lattices and their properties.

Contribution

It introduces a novel approach employing the Yang-Baxter algebra to derive functional relations for the model's partition function.

Findings

Functional relation for the partition function derived

Properties of the partition function discussed

Homogeneous limit analyzed for small lattices

Abstract

In this work we demonstrate that the Yang-Baxter algebra can also be employed in order to derive a functional relation for the partition function of the six vertex model with domain wall boundary conditions. The homogeneous limit is studied for small lattices and the properties determining the partition function are also discussed.