The static quark self-energy at O($\alpha^{20}$) in perturbation theory

Understand

In Refs.

• [1,2] we determined the infinite volume coefficients of the perturbative expansions of the self-energies of static sources in the fundamental and adjoint representations in SU(3) gluodynamics to order $\alpha^{20}$.
• We used numerical stochastic perturbation theory [3], where we employed a new second order integrator and twisted boundary conditions.
• The expansions were obtained in lattice regularization with the Wilson action and two different discretizations of the covariant time derivative within the Polyakov loop.