Gauge-invariant field-strength correlators in pure Yang-Mills and full QCD at finite temperature

TL;DR

This paper investigates how gauge-invariant field-strength correlators behave across the deconfinement transition in pure Yang-Mills and full QCD using lattice simulations, revealing the electric gluon condensate vanishes at the transition.

Contribution

It provides high-statistics lattice data on gauge-invariant correlators in both pure gauge and full QCD, and analyzes their behavior at the deconfinement phase transition.

Findings

Electric gluon condensate drops to zero at the transition

High-statistics lattice data agree with previous results

Quantitative analysis of correlators across the phase transition

Abstract

We study by numerical simulations on a lattice the behaviour of the gauge-invariant two-point correlation functions of the gauge-field strengths across the deconfinement phase transition, both for the pure-gauge SU(3) theory and for full QCD with two flavours. Quenched data agree within errors with previous determinations, but have much higher statistics. A best-fit analysis of the data has been performed, both for the quenched and the full-QCD case, showing that the electric gluon condensate drops to zero at the deconfining phase transition.