# Particles, string and interface in the three-dimensional Ising model

## TL;DR

This paper investigates the three-dimensional Ising model near criticality, deriving interfacial properties from particle modes, and validating results with Monte Carlo simulations.

## Contribution

It introduces a novel approach to analyze interfacial properties using particle modes from the underlying field theory, validated by simulations.

## Key findings

- Interfacial properties derived from particle modes.
- Order parameter and energy density profiles match simulations.
- Product of surface tension and correlation length relates to particle density.

## Abstract

We consider the three-dimensional Ising model slightly below its critical temperature, with boundary conditions leading to the presence of an interface. We show how the interfacial properties can be deduced starting from the particle modes of the underlying field theory. The product of the surface tension and the correlation length yields the particle density along the string whose propagation spans the interface. We also determine the order parameter and energy density profiles across the interface, and show that they are in complete agreement with Monte Carlo simulations that we perform.