Non-perturbative renormalization in domain-wall QCD by Schr\"odinger functional scheme

TL;DR

This paper develops and tests a Schr"odinger functional scheme for domain-wall QCD, enabling non-perturbative calculation of renormalization factors for vector and axial-vector currents at approximately 2 GeV.

Contribution

It introduces a formulation and numerical validation of a Schr"odinger functional scheme specifically for domain-wall QCD, and applies it to compute renormalization factors non-perturbatively.

Findings

Successful formulation and numerical testing of the scheme.

Non-perturbative renormalization factors obtained at $a^{-1} hickapprox 2$ GeV.

Application to quenched domain-wall QCD with different gauge actions.

Abstract

We formulate and numerically test the Schr\"odinger functional scheme for domain-wall QCD. We then apply it to a non-perturbative calculation of the renormalization factors for vector and axial-vector currents in quenched domain-wall QCD with plaquette and renormalization group improved gauge actions at $a^{-1}\simeq 2$ GeV.