# Conformal field theory and the hot phase of three-dimensional U(1) gauge theory

## TL;DR

This paper investigates the high-temperature phase of 3D U(1) gauge theory, demonstrating strong agreement between lattice results and conformal field theory predictions for correlation functions and critical indices.

## Contribution

It provides the first detailed comparison of lattice calculations with conformal field theory predictions in the high-temperature phase of 3D U(1) gauge theory.

## Key findings

- Excellent quantitative agreement with conformal field theory
- Validation of the predicted functional forms of correlation functions
- Confirmation of continuously varying critical indices

## Abstract

We study the high-temperature phase of compact U(1) gauge theory in 2+1 dimensions, comparing the results of lattice calculations with analytical predictions from the conformal-field-theory description of the low-temperature phase of the bidimensional XY model. We focus on the two-point correlation functions of probe charges and the field-strength operator, finding excellent quantitative agreement with the functional form and the continuously varying critical indices predicted by conformal field theory.