Perturbative expansion of the energy of static sources at large orders in four-dimensional SU(3) gauge theory

Understand

We determine 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} in the strong coupling parameter \alpha.

• We use numerical stochastic perturbation theory, where we employ a new second order integrator and twisted boundary conditions.
• The expansions are obtained in lattice regularization with the Wilson action and two different discretizations of the covariant time derivative within the Polyakov loop.
• Overall, we obtain four different perturbative series.