Nonperturbative renormalization of composite operators with overlap fermions -: art. no. 114509

We compute nonperturbatively the renormalization constants of composite operators on a quenched 16(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(A)=Z(V) and Z(S)=Z(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) over bar 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.