A novel scheme for the wave function renormalization of the composite operators

Abstract

We propose a novel renormalization scheme for the hadronic operators. The renormalization factor of the operator in this scheme is normalized by the correlation function at tree level in coordinate space. If we focus on the pseudo scalar operator, then its renormalization factor is related to the mass renormalization factor of the fermion through the partially conserved axial-vector current (PCAC) relation. Using the renormalization factor for the pseudo scalar operator in our scheme, we obtain the mass anomalous dimension of the SU(3) gauge theory coupled to N_f=12 massless fundamental fermions, which has an infrared fixed point (IRFP). The mass anomalous dimension at the IRFP is estimated as gamma_m^*= 0.044_{-0.024}^{+0.025} (stat.)_{-0.032}^{+0.057} (syst.).

27 pages,13 figures, reference added (v2), comments and reference added (v3), 1 figure and discussion added (v4), 1 figure changed (v5), published version (v6)

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Cited by in corpus (5)

• Nonperturbative beta function of twelve-flavor SU(3) gauge theory
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• Upper bound on the mass anomalous dimension in many-flavor gauge theories: a conformal bootstrap approach
• Anomalous dimensions on the lattice
• Determination of the mass anomalous dimension for $N_f=12$ and $N_f=9$ SU($3$) gauge theories