Analyticity and Integrabiity in the Chiral Potts Model

TL;DR

This paper investigates how the analyticity of the ground state energy and correlations in the chiral Potts model improves under integrability conditions, highlighting differences between integrable and non-integrable regimes.

Contribution

It demonstrates the impact of integrability on analyticity properties in the chiral Potts model and verifies a sum rule in the superintegrable case.

Findings

Analyticity increases when the model satisfies integrability conditions.

The superintegrable case obeys a specific sum rule.

Perturbation theory reveals differences between integrable and non-integrable regimes.

Abstract

We study the perturbation theory for the general non-integrable chiral Potts model depending on two chiral angles and a strength parameter and show how the analyticity of the ground state energy and correlation functions dramatically increases when the angles and the strength parameter satisfy the integrability condition. We further specialize to the superintegrable case and verify that a sum rule is obeyed.