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

Itou, Etsuko (High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan)

06 May 2015

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 relation. Using the renormalization factor for the pseudo scalar operator in our scheme, we obtain the mass anomalous dimension of the SU( ) gauge theory coupled to massless fundamental fermions, which has an infrared fixed point (IRFP). The mass anomalous dimension at the IRFP is estimated as .

Published in: PTEP 2015 (2015) 043B08
Published by: Oxford University Press/Physical Society of Japan
DOI: 10.1093/ptep/ptv045
arXiv: 1307.6645
License: CC-BY-3.0

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