On the Form Factors of Relevant Operators and their Cluster Property

TL;DR

This paper computes form factors of relevant operators in integrable models using cluster properties, confirming their identification through anomalous dimensions and universal ratios with numerical results.

Contribution

It introduces a method to identify relevant operators in integrable models via cluster properties and anomalous dimensions, validated by numerical comparisons.

Findings

Successful computation of form factors for relevant operators.

Confirmation of operator identification through anomalous dimensions.

Agreement of universal ratios with numerical results.

Abstract

We compute the Form Factors of the relevant scaling operators in a class of integrable models without internal symmetries by exploiting their cluster properties. Their identification is established by computing the corresponding anomalous dimensions by means of Delfino--Simonetti--Cardy sum--rule and further confirmed by comparing some universal ratios of the nearby non--integrable quantum field theories with their independent numerical determination.