Plaquette expectation value and gluon condensate in three dimensions

TL;DR

This paper calculates the finite gluon condensate in three-dimensional SU(3) gauge theory by subtracting divergences from lattice data, aiding understanding of hot QCD pressure in different schemes.

Contribution

It provides a novel method to extract the finite gluon condensate in three dimensions and connects lattice results to continuum schemes like MSbar.

Findings

Finite gluon condensate determined in 3D SU(3) gauge theory.

Method for subtracting ultraviolet divergences from lattice measurements.

Potential implications for weak-coupling expansion of hot QCD pressure.

Abstract

In three dimensions, the gluon condensate of pure SU(3) gauge theory has ultraviolet divergences up to 4-loop level only. By subtracting the corresponding terms from lattice measurements of the plaquette expectation value and extrapolating to the continuum limit, we extract the finite part of the gluon condensate in lattice regularization. Through a change of regularization scheme to MSbar and (inverse) dimensional reduction, this result would determine the first non-perturbative coefficient in the weak-coupling expansion of hot QCD pressure.