The three-loop β-function of SU(N) lattice gauge theories with Wilson fermions Original Research Article

We calculate the third coefficient of the lattice ,β-function associated with the Wilson formulation for both gauge fields and fermions. This allows us to evaluate the three-loop correction (linear in g12) to the relation between the lattice Λ parameter and the bare coupling g0, which is important in order to verify asymptotic scaling predictions. Our calculation also leads to the two-loop relation between the coupling renormalized in the MS scheme and g0.