Partially conserved axial vector current and applications

TL;DR

This paper explores the use of a point-split axial vector current in lattice QCD, demonstrating that it yields a more accurate axial charge gA compared to the local current, through nonperturbative renormalization.

Contribution

It introduces a nonlocal point-split axial current derived from Wilson-like fermions and shows its improved accuracy in calculating gA.

Findings

Nonperturbative renormalization factor computed for the point-split current.

Axial charge gA closer to experimental value with the nonlocal current.

Improved agreement with physical gA compared to local current.

Abstract

We investigate implications of the use of the point-split axial vector current derived from a Wilson like fermionic action. We compute the corresponding renormalization factor nonperturbatively for one beta value. The axial charge gA calculated from this nonlocal current is found to be nearer to the physical value than computed with the local axial vector current -- computed both on the same lattice with the same action.