Trace Anomaly and dimension two gluon condensate above the phase transition

TL;DR

This paper investigates the role of the dimension two gluon condensate in the deconfined phase of QCD, linking lattice data on the trace anomaly to power corrections and previous phenomenological models.

Contribution

It provides a detailed analysis of lattice data on the trace anomaly, connecting it to the dimension two gluon condensate and comparing with earlier estimates.

Findings

The trace anomaly exhibits inverse temperature power corrections consistent with a dimension two gluon condensate.

Lattice data analysis yields values of the condensate similar to previous phenomenological estimates.

The study supports the significance of the dimension two gluon condensate in the deconfined phase of QCD.

Abstract

The dimension two gluon condensate has been used previously within a simple phenomenological model to describe power corrections from available lattice data for the renormalized Polyakov loop and the heavy quark-antiquark free energy in the deconfined phase of QCD (hep-ph/0505215,hep-ph/0702055). The QCD trace anomaly of gluodynamics also shows unequivocal inverse temperature power corrections which may be encoded as dimension two gluon condensate. We analyze lattice data of the trace anomaly and compare with other determinations of the condensate from previous references, yielding roughly similar numerical values.