Latent heat at the first order phase transition point of SU(3) gauge theory

TL;DR

This study calculates the latent heat and pressure gap at the first order deconfining phase transition in SU(3) gauge theory using lattice simulations, revealing that pressure gap vanishes with non-perturbative anisotropy coefficients and providing continuum limit estimates.

Contribution

The paper introduces a non-perturbative determination of anisotropy coefficients and performs continuum extrapolation for latent heat and pressure gap in SU(3) gauge theory.

Findings

Pressure gap vanishes at all Nt with non-perturbative coefficients.

Latent heat and pressure gap values in the continuum limit.

Small spatial volume dependence on large lattices.

Abstract

We calculate the energy gap (latent heat) and pressure gap between the hot and cold phases of the SU(3) gauge theory at the first order deconfining phase transition point. We perform simulations around the phase transition point with the lattice size in the temporal direction Nt=6, 8 and 12 and extrapolate the results to the continuum limit. We also investigate the spatial volume dependence. The energy density and pressure are evaluated by the derivative method with non-perturabative anisotropy coefficients. We adopt a multi-point reweighting method to determine the anisotropy coefficients. We confirm that the anisotropy coefficients approach the perturbative values as Nt increases. We find that the pressure gap vanishes at all values of Nt when the non-perturbative anisotropy coefficients are used. The spatial volume dependence in the latent heat is found to be small on large lattices. Performing extrapolation to the continuum limit, we obtain $ \Delta \epsilon/T^4 = 0.75 \pm 0.17 $ and $ \Delta (\epsilon -3 p)/T^4 = 0.623 \pm 0.056.$