# An Effective Model of QCD Monopoles

## TL;DR

This paper develops an effective quantum model of QCD magnetic monopoles by studying Coulomb Bose systems and matching their properties with lattice data, providing insights into monopole contributions near the QCD critical temperature.

## Contribution

It introduces a novel effective quantum model of QCD monopoles derived from numerical simulations and lattice data correlation functions.

## Key findings

- Identified the relation between critical temperature and Coulomb coupling strength.
- Matched correlation functions with lattice measurements.
- Extracted monopole contributions to QCD equation of state near T_c.

## Abstract

In this work, we carried out quantum many-body studies of magnetic monopole ensembles through numerical simulations of the path integral for one- and two-component Coulomb Bose systems. We found the relation between the critical temperature for the Bose-Einstein condensation phase transition and the Coulomb coupling strength using two methods, the finite-size scaling of the superfluid fraction and statistical analysis of permutation cycles. After finding parameters that match the correlation functions measured in our system with the correlation functions previously measured on the lattice, we arrived at an effective quantum model of color magnetic monopoles in QCD. From this matched model, we were able to extract the monopole contribution to QCD equation of state near $T_\text{c}$.