Excited states nonlinear integral equations for an integrable anisotropic spin 1 chain

TL;DR

This paper introduces nonlinear integral equations to describe excited states in an integrable anisotropic spin 1 chain, enabling analytical calculation of scaling dimensions previously obtained numerically, with potential implications for supersymmetric models.

Contribution

It presents a novel set of nonlinear integral equations for excited states in an integrable spin 1 chain with anisotropy, linking numerical and analytical results.

Findings

Analytical derivation of scaling dimensions matches previous numerical results.

The equations provide a new tool for studying excited states in integrable models.

Potential applications to supersymmetric sine-Gordon model.

Abstract

We propose a set of nonlinear integral equations to describe on the excited states of an integrable the spin 1 chain with anisotropy. The scaling dimensions, evaluated numerically in previous studies, are recovered analytically by using the equations. This result may be relevant to the study on the supersymmetric sine-Gordon model.