Domain Wall Fermion Study of Scaling in Non-perturbative Renormalization of Quark Composite Operators

Abstract

We compute non-perturbatively the renormalization coefficients of scalar and pseudoscalar operators, local vector and axial currents, conserved vector and axial currents, and $O^{\Delta S=2}_{LL}$ 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.