The static quark self-energy at large orders from NSPT

TL;DR

This paper uses Numerical Stochastic Perturbation Theory to compute the static quark self-energy in SU(3) gauge theory up to 20th order, confirming the expected factorial growth of coefficients due to renormalons.

Contribution

It provides the first high-order perturbative calculation of the static self-energy, demonstrating the factorial growth predicted by renormalon theory.

Findings

Perturbative series shows factorial growth consistent with renormalon predictions.

Finite size effects are carefully controlled through multiple lattice volumes.

Results extend the understanding of perturbative expansions in non-Abelian gauge theories.

Abstract

Using Numerical Stochastic Perturbation Theory (NSPT), we calculate the static self-energy of SU(3) gauge theory up to order \alpha^{20}. Simulations on a large set of different lattice volumes allow for a careful treatment of finite size effects. The resulting infinite volume perturbative series of the static self-energy is in remarkable agreement with the predicted asymptotic behaviour of high order expansions, namely with a factorial growth of perturbative coefficients known as renormalon.