# Fermion-current basis and correlation functions for the integrable spin 1 chain

## TL;DR

This paper develops a method using fermion-current basis to compute expectation values of local operators in an integrable spin-1 chain, extending techniques from the spin-1/2 case.

## Contribution

It introduces a new approach for expressing local operators in the fermion-current basis for the spin-1 chain, enabling expectation value calculations.

## Key findings

- Successfully expressed local operators in the fermion-current basis.
- Extended the fermion-current basis method from spin-1/2 to spin-1 chains.
- Provided a framework for computing correlation functions in spin-1 chains.

## Abstract

We use the fermion-current basis in the space of local operators for the computation of the expectation values for the integrable spin chain of spins 1. Our main tool consists in expressing a given local operators in the fermion-current basis. For this we use the same method as in the spin 1/2 case which is based on the arbitrariness of the Matsubara data.