Comment on "The massive Thirring model from XYZ spin chain" by Kolanovic et al

TL;DR

This paper critiques prior work by demonstrating that the continuum limit used was inadequate for small system sizes, leading to incorrect conclusions about the spectrum of the massive Thirring model.

Contribution

It clarifies that the energy spectrum obtained from a small XYZ spin chain does not represent the massive Thirring model, emphasizing the importance of system size in continuum limit approximations.

Findings

The continuum limit is not valid for 16-site systems.

The spectrum obtained is due to finite size effects, not the massive Thirring model.

Small system sizes can lead to misleading conclusions about continuum theories.

Abstract

It is shown that the continuum limit of the spin 1/2 Heisenberg XYZ model is far from sufficient for the site number of 16. Therefore, the energy spectrum of the XYZ model obtained by Kolanovic et al. has nothing to do with the massive Thirring model, but it shows only the spectrum of the finite size effects.