Multicolored Temperley-Lieb lattice models. The ground state

TL;DR

This paper calculates the ground state energy of multicolored Temperley-Lieb lattice models using inversion relations, revealing that these models have a mass gap and are integrable.

Contribution

It introduces a Baxterization of multicolored Temperley-Lieb algebras and analyzes their ground states, a novel approach in lattice integrable models.

Findings

Ground state energy computed for multicolored models

Models exhibit a mass gap

Analysis applies to vertex and IRF models

Abstract

Using inversion relation, we calculate the ground state energy for the lattice integrable models, based on a recently obtained baxterization of non trivial multicolored generalization of Temperley-Lieb algebras. The simplest vertex and IRF models are analyzed and found to have a mass gap.