Non-perturbative determination of Z_A^{stat} in quenched QCD

TL;DR

This paper non-perturbatively computes the renormalization factor of the static axial vector current in quenched lattice QCD, mapping its scale dependence and providing data for improved and unimproved fermion formulations.

Contribution

It introduces a non-perturbative method to determine Z_A^{stat} and maps its scale dependence using a recursive finite-size scaling approach in the Schroedinger functional scheme.

Findings

Calculated Z_A^{stat} for improved and unimproved Wilson fermions.

Mapped the scale dependence of Z_A^{stat} in the Schroedinger functional scheme.

Provided data to renormalize existing lattice QCD results non-perturbatively.

Abstract

We non-perturbatively calculate the renormalization factor of the static axial vector current in O(a) improved quenched lattice QCD. Its scale dependence is mapped out in the Schroedinger functional scheme by means of a recursive finite-size scaling technique, taking the continuum limit in each step. We also obtain Z_A^{stat} for Wilson fermions in order to renormalize existing unimproved data on F_B^{bare} non-perturbatively.