Renormalon Subtraction from the Average Plaquette and the Gluon Condensate

TL;DR

This paper introduces a Borel resummation method for subtracting perturbative effects from the average plaquette, revealing a residual that scales as a dimension-4 condensate, and critically reviews existing renormalon subtraction techniques.

Contribution

It presents a novel Borel resummation scheme for renormalon subtraction using bilocal expansion, improving the understanding of the gluon condensate.

Findings

Residual after subtraction scales as dim-4 condensate

Proposes a new Borel resummation scheme

Provides a critical review of existing methods

Abstract

A Borel resummation scheme of subtracting the perturbative contribution from the average plaquette is proposed using the bilocal expansion of Borel transform. It is shown that the remnant of the average plaquette, after subtraction of the perturbative contribution, scales as a dim-4 condensate. A critical review of the existing procedure of renormalon subtraction is presented.