Annihilation Poles for Form Factors in XXZ Model

TL;DR

This paper investigates the annihilation poles of form factors in the XXZ model, demonstrating how residues relate form factors with different particle numbers using vertex operator bosonization.

Contribution

It provides a proof of the annihilation pole property for XXZ model form factors utilizing vertex operator bosonization techniques.

Findings

Residue of 2n-particle form factor expressed via 2n-2-particle form factors.

Application of vertex operator bosonization to prove annihilation pole property.

Enhanced understanding of form factor structure in integrable models.

Abstract

The annihilation poles for the form factors in XXZ model are studied using vertex operators introduced in \cite{DFJMN}. An annihilation pole is the property of form factors according to which the residue of the $2n$-particle form factor in such a pole can be expressed through linear combination of the $2n-2$-particle form factors. To prove this property we use the bosonization of the vertex operators in XXZ model which was invented in \cite{JMMN}.