Domain Wall Fermion Study of Scaling in Nonperturbative Renormalization of Quark Composite.pdfVIP

1 Domain Wall Fermion Study of Scaling in Non-perturbative Renormalization of Quark Composite Operators Y. Zhestkova ∗ aPhysics Department, Columbia University, New York, NY 10027 0 0 We compute non–perturbatively the renormalization coefficients of scalar and pseudoscalar operators, local 0 vector and axial currents, conserved vector and axial currents, and O∆S=2 over a wide range of energy scales 2 LL using a scaling technique that connects the results of simulations at different values of coupling β . We use the v domain wall fermion formulation in the quenched approximation at a series of three values of β = 6.0, 6.45, 7.05 o corresponding to lattice spacing scaling by factors of two. N 1 1 1. INTRODUCTION ΛO (p ; a) = S(p ; a)−1GO (p ; a)S(p ; a)−1, and v GO (p ; a) is non–amputated Greens function. 2 In lattice QCD a method for full non– The quark field renormalization coefficient is 0 perturbative renormalization of operators by defined through the Ward identity for the con- 0 means of Monte–Carlo simulations was proposed served vector current, 1 1 in [1]. To extend the range of momenta over which operators are renormalized, we combine 1 µ µ 0 Z (µ; a