Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-07-19
Phys.Rev.D72:114509,2005
Physics
High Energy Physics
High Energy Physics - Lattice
40 pages, 20 figures
Scientific paper
10.1103/PhysRevD.72.114509
We compute non-perturbatively the renormalization constants of composite operators on a quenched $16^3 \times 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 $Z_A = Z_V$ and $ Z_S=Z_P$ and find that they agree well {(less than 1%)} above $\mu$ = 1.6 GeV. %even for our lattice with a coarse lattice spacing. We also perform a Renormalization Group (RG) analysis at the next-to-next-to-leading order and match the renormalization constants to the $\bar{\rm MS}$ scheme. The wave-function renormalization $Z_{\psi}$ is determined from the vertex function of the axial current and $Z_A$ 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 $(pa)^2$ errors of the vertex functions are small and the quark mass dependence of the renormalization factors to be quite weak.
Dong Shao-Jing
Draper Terrence
Horvath Ildiko
Lee Frank X.
Leinweber Derek B. .
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