A consistency check for Renormalons in Lattice Gauge Theory: beta^(-10) contributions to the SU(3) plaquette

TL;DR

This paper calculates high-order perturbative contributions to the SU(3) lattice gauge theory plaquette, confirming the presence of renormalon effects and finite size corrections, thus providing a consistency check for theoretical predictions.

Contribution

It provides the first computation of the SU(3) plaquette expansion up to beta^(-10), validating renormalon expectations in lattice gauge theory.

Findings

Consistent with renormalon behavior

Finite size effects are observed

Supports theoretical predictions of perturbative series

Abstract

We compute the perturbative expansion of the Lattice SU(3) plaquette to beta^(-10) order. The result is found to be consistent both with the expected renormalon behaviour and with finite size effects on top of that.