# Nonperturbative SU(3) thermodynamics and the phase transition

## TL;DR

This paper calculates the SU(3) equation of state across the phase transition using the Field Correlator Method, successfully matching lattice results for critical temperature and thermodynamic quantities.

## Contribution

It introduces a nonperturbative approach based on vacuum correlators to compute the SU(3) thermodynamics in both phases, capturing confinement effects.

## Key findings

- Agreement of $T_c$ with lattice measurements
- Accurate calculation of pressure, entropy, and interaction measure
- Effective description of confinement dynamics

## Abstract

The $SU(3)$ equation of state ($P(T),\,s(T),\,I(T)$) are calculated within the Field Correlator Method both in the confined and the deconfined phases. The basic dynamics in our approach is contained in the vacuum correlators, both of the colorelectric (CE) and colormagnetic (CM) types, which ensure CE and CM confinement below $T_c$ and CM confinement and Polyakov loops above $T_c$. The resulting values of $T_c$ and $P(T),\,I(T)$, $s(T)$ are in good agreement with lattice measurements.