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

Understand

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).