Finite temperature corrections in 2d integrable models

TL;DR

This paper investigates finite temperature effects on the 2d Ising model's magnetization and energy, confirming theoretical predictions with numerical data and improving continuum limit estimates.

Contribution

It validates the Delfino and LeClair-Mussardo functional form for finite temperature corrections in 2d integrable models through numerical analysis.

Findings

Perfect agreement between theory and numerical results.

Improved precision in continuum limit estimates.

Validation of the proposed functional form.

Abstract

We study the finite size corrections for the magnetization and the internal energy of the 2d Ising model in a magnetic field by using transfer matrix techniques. We compare these corrections with the functional form recently proposed by Delfino and LeClair-Mussardo for the finite temperature behaviour of one-point functions in integrable 2d quantum field theories. We find a perfect agreement between theoretical expectations and numerical results. Assuming the proposed functional form as an input in our analysis we obtain a relevant improvement in the precision of the continuum limit estimates of both quantities.