The three-loop β-function of SU(N) lattice gauge theories with Wilson fermions
Date
1998Source
Nuclear Physics BVolume
525Issue
1-2Pages
387-400Google Scholar check
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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 g2 0) 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. © 1998 Elsevier Science B.V.