Nonperturbative renormalization of composite operators with overlap fermions
- Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027 (China)
- Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506 (United States)
- Center for Nuclear Studies, Department of Physics, George Washington University, Washington, D.C. 20052 (United States)
- Special Research Center for the Subatomic Structure of Matter and Department of Physics, University of Adelaide, Adelaide, SA 5005 (Australia)
We compute nonperturbatively the renormalization constants of composite operators on a quenched 16{sup 3}x28 lattice with lattice spacing a=0.20 fm for the overlap fermion by using the regularization-independent (RI) scheme. The quenched gauge configurations were generated with the Iwasaki action. We test the relations Z{sub A}=Z{sub V} and Z{sub S}=Z{sub P} and find that they agree well (less than 1%) above {mu}=1.6 GeV. We also perform a Renormalization Group (RG) analysis at the next-to-next-to-leading order and match the renormalization constants to the MS scheme. The wave function renormalization Z{sub {psi}} is determined from the vertex function of the axial current and Z{sub A} from the chiral Ward identity. Finally, we examine the finite quark mass behavior for the renormalization factors of the quark bilinear operators. We find that the (pa){sup 2} errors of the vertex functions are small and the quark mass dependence of the renormalization factors to be quite weak.
- OSTI ID:
- 20774450
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 11 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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