High precision Monte Carlo simulations of interfaces in the three-dimensional Ising model: a comparison with the Nambu-Goto effective string model

TL;DR

This paper uses high-precision Monte Carlo simulations to study interfaces in the 3D Ising model and compares the results with the Nambu-Goto string model, confirming its validity at NLO.

Contribution

It provides the first detailed comparison between Monte Carlo data and the Nambu-Goto effective string model for 3D Ising interfaces at high precision.

Findings

Monte Carlo results agree with Nambu-Goto NLO predictions

Evidence supports the effective string description of interfaces

Validates the Nambu-Goto model at the NLO level in 3D Ising

Abstract

Motivated by the recent progress in the effective string description of the interquark potential in lattice gauge theory, we study interfaces with periodic boundary conditions in the three-dimensional Ising model. Our Monte Carlo results for the associated free energy are compared with the next-to-leading order (NLO) approximation of the Nambu-Goto string model. We find clear evidence for the validity of the effective string model at the level of the NLO truncation.