# Monte Carlo Simulations of Conformal Theory Predictions for the 3-state Potts and Ising Models

## TL;DR

This paper uses Monte Carlo simulations to test conformal field theory predictions for the critical properties of 2D Ising and 3-state Potts models, focusing on correlation functions and structure constants.

## Contribution

It provides empirical validation of conformal field theory predictions for these models, confirming the Coulomb gas and bootstrap approaches.

## Key findings

- Simulation results agree with conformal field theory predictions
- Confirmed the universality of structure constants
- Validated Coulomb gas and bootstrap methods

## Abstract

The critical properties of the 2D Ising and 3-state Potts models are investigated using Monte Carlo simulations. Special interest is given to measurement of 3-point correlation functions and associated universal objects, i.e. structure constants. The results agree well with predictions coming from conformal field theory confirming, for these examples, the correctness of the Coulomb gas formalism and the bootstrap method.