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

TL;DR

This paper non-perturbatively computes renormalization coefficients for various quark operators using domain wall fermions across different energy scales, demonstrating a scaling technique that links simulation results at multiple couplings.

Contribution

It introduces a scaling method to connect non-perturbative renormalization results at different lattice spacings using domain wall fermions in quenched QCD.

Findings

Renormalization coefficients computed at three lattice spacings.

Demonstration of scaling behavior across energy scales.

Validation of the scaling technique for non-perturbative renormalization.

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.