# Current mean values in the XYZ model

### Submission summary

 Authors (as Contributors): Balázs Pozsgay
Submission information
Date accepted: 2023-02-13
Date submitted: 2023-01-13 08:02
Submitted by: Pozsgay, Balázs
Submitted to: SciPost Physics
Ontological classification
Specialties:
• Mathematical Physics
Approach: Theoretical

### Abstract

The XYZ model is an integrable spin chain which has an infinite set of conserved charges, but it lacks a global $U(1)$-symmetry. We consider the current operators, which describe the flow of the conserved quantities in this model. We derive an exact result for the current mean values, valid for any eigenstate in a finite volume with periodic boundary conditions. This result can serve as a basis for studying the transport properties of this model within Generalized Hydrodynamics.

###### Current status:
Accepted in target Journal

Editorial decision: For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)

### List of changes

We made almost all changes asked by the referee of the first report.
All changes were about typos, wrong use of english words, and one small mistake in a formula.

In Appendix B we added two additional references, one of them suggested by this referee.

On the other hand, this referee also suggested two more references for appendix C, but we did not add them. They are somewhat relevant in a broader sense, but they do not include finite size numerical data to compare to. This is why we did not add them. In any case this was just a suggestion from the referee.