Wilson loops to 20th order numerical stochastic perturbation theory

Understand

We calculate Wilson loops of various sizes up to 20 loops in SU(3) pure lattice gauge theory at different lattice sizes for Wilson gauge action using the technique of numerical stochastic perturbation theory.

• This allows us to investigate the perturbative series for various Wilson loops at high loop orders.
• We observe differences in the behavior of those series as function of the loop order.
• Up to $n=20$ we do not find evidence for the factorial growth of the expansion coefficients often assumed to characterize an asymptotic series.