Extracting gluon condensate from the average plaquette

TL;DR

This paper refines the extraction of the gluon condensate from the average plaquette by applying Borel summation to subtract perturbative parts, critically reviews previous renormalon schemes, and compares results with high-order perturbation theory.

Contribution

It introduces a method using Borel summation for perturbative subtraction and critically evaluates prior renormalon-based approaches for gluon condensate extraction.

Findings

The nonperturbative remnant scales as a dimension-4 condensate.

Critique of the renormalon subtraction scheme claiming a dimension-2 condensate.

Comparison shows consistency with high-order stochastic perturbation theory results.

Abstract

The perturbative contribution in the average plaquette is subtracted using Borel summation and the remnant of the plaquette is shown to scale as a dim-4 condensate. A critical review is presented of the renormalon subtraction scheme that claimed a dim-2 condensate. The extracted gluon condensate is compared with the latest result employing high order (35-loop) calculation in the stochastic perturbation theory.