Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/17584
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Type: | Journal article |
Title: | Nonperturbative renormalization of composite operators with overlap fermions |
Author: | Zhang, J. Mathur, N. Dong, S. Draper, T. Horvath, I. Lee, F. Leinweber, D. Liu, K. Williams, A. |
Citation: | Physical Review D: Particles, Fields, Gravitation and Cosmology, 2005; 72(11):114509-1-114509-18 |
Publisher: | American Physical Soc |
Issue Date: | 2005 |
ISSN: | 1550-7998 1550-2368 |
Statement of Responsibility: | J. B. Zhang, N. Mathur, S. J. Dong, T. Draper, I. Horváth, F. X. Lee, D. B. Leinweber, K. F. Liu, and A. G. Williams |
Abstract: | We compute nonperturbatively the renormalization constants of composite operators on a quenched 16³×28 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 ZA=ZV and ZS=ZP and find that they agree well (less than 1%) above μ=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 MS̅ scheme. The wave function renormalization Zψ is determined from the vertex function of the axial current and ZA 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)2 errors of the vertex functions are small and the quark mass dependence of the renormalization factors to be quite weak. |
Rights: | ©2005 American Physical Society |
DOI: | 10.1103/PhysRevD.72.114509 |
Published version: | http://dx.doi.org/10.1103/physrevd.72.114509 |
Appears in Collections: | Aurora harvest 6 Special Research Centre for the Subatomic Structure of Matter publications |
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