Perturbative Renormalization Factors of Quark Bilinear Operators for Domain-wall QCD

Details Perturbative Renormalization Factors of Quark Bilinear Operators for Domain-wall QCD Perturbative Renormalization Factors of Quark Bilinear Operators for Domain-wall QCD

1998-10-08

arxiv.org/abs/hep-lat/9810020v1

Phys.Rev. D59 (1999) 094505

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages, 3 axodraw.sty figures

Scientific paper

10.1103/PhysRevD.59.094505

We calculate one-loop renormalization factors of bilinear operators made of physical quark fields for domain-wall QCD. We find that finite parts of such renormalization factors have reasonable values at 1-loop except an overlap factor between the physical quark field and the zero mode in the theory. We point out that the 1-loop estimate of overall renormalization factors becomes unreliable at the coupling where numerical simulations are currently performed, due to the presence of this overlap factor. We show that this problem disappears if the mean-field improved perturbation theory is employed for renormalization factors.

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