String effects in the 3d gauge Ising model

TL;DR

This study tests the effective string model of confinement in the 3D gauge Ising model at finite temperature, showing good agreement at large distances and low temperatures, with corrections described by the Nambu-Goto action.

Contribution

It provides high-precision Monte Carlo data for the 3D gauge Ising model and compares it with effective string predictions, highlighting the role of higher order corrections.

Findings

Pure bosonic string describes data at large distances and low temperature.

Higher order corrections become significant at higher temperatures.

Nambu-Goto action truncated at first order fits the correction data.

Abstract

We compare the predictions of the effective string description of confinement with a set of Montecarlo data for the 3d gauge Ising model at finite temperature. Thanks to a new algorithm which makes use of the dual symmetry of the model we can reach very high precisions even for large quark-antiquark distances. We are thus able to explore the large R regime of the effective string. We find that for large enough distances and low enough temperature the data are well described by a pure bosonic string. As the temperature increases higher order corrections become important and cannot be neglected even at large distances. These higher order corrections seem to be well described by the Nambu-Goto action truncated at the first perturbative order.