Two-loop computation of a running coupling in lattice Yang-Mills theory Original Research Article

We compute the two-loop coefficient in the relation between the lattice bare coupling and the running coupling defined through the Schrödinger functional for the case of pure SU(2) gauge theory. This result is needed as one computational component to relate the latter to the MS coupling, and it allows us to implement O(a) improvement of the Schrödinger functional to two-loop order. In addition, the two-loop β-function is verified in a perturbative computation on the lattice, and the behavior of an improved bare coupling is investigated beyond one loop.