Domain Wall Fermion Study of Scaling in Non-perturbative Renormalization of Quark Bilinears and $B_K$

Abstract

We compute non--perturbatively the renormalization coefficients of scalar and pseudoscalar operators, local vector and axial currents, conserved vector and axial currents, and $O_{LL}^{\Delta S=2}$ over a wide range of energy scales using a scaling technique that connects the results of simulations at different values of coupling $\beta$. We use the domain wall fermion formulation in the quenched approximation at a series of three values of $\beta ,6.0,6.45,7.05$ corresponding to lattice spacing scaling by factors of two.

31 pages, 12 figures, 5 tables