Three-loop beta function and non-perturbative αs in asymmetric momentum scheme
Abstract
We determine the three-loop coefficient of the beta function in the asymmetric momentum subtraction scheme in Landau gauge. This scheme is convenient for lattice studies of αs, the running coupling constant of QCD. We present high statistics lattice results for αs in the SU(3) Yang-Mills theory without quark, compare with the three-loop running and extract the value of the corresponding parameter. We estimate the systematic error coming from four-loop terms. We obtain the result: = 295 (5) (15) a-1(β=6.0) 1.97 GeV MeV.
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