Form factor of local operators in the generalized algebraic Bethe ansatz

TL;DR

This paper derives explicit formulas for the form factors of local operators in an XYZ spin chain using the generalized algebraic Bethe ansatz, focusing on singlet states in the free fermion limit.

Contribution

It provides new explicit representations for form factors in the XYZ model within the generalized algebraic Bethe ansatz framework.

Findings

Explicit form factor formulas for singlet states

Application to free fermion limit of XYZ chain

Advancement in algebraic Bethe ansatz techniques

Abstract

We consider an $XYZ$ spin chain within the framework of the generalized algebraic Bethe ansatz. We study form factors of local operators corresponding to the singlet states in the limit of free fermions. We obtain explicit representations for these form factors.