Determining gA using non-perturbatively O(a) improved Wilson fermions
R. Horsley
TL;DR
This paper provides a non-perturbative calculation of the axial charge gA using improved Wilson fermions, emphasizing the accurate determination of the renormalisation constant ZA and continuum extrapolation.
Contribution
It presents the first non-perturbative estimate of gA with O(a) improved Wilson fermions, including both quenched and unquenched cases and a continuum limit analysis.
Findings
Non-perturbative gA estimates obtained for quenched and unquenched cases.
Continuum extrapolation performed using three lattice spacings.
Precise determination of the axial renormalisation constant ZA.
Abstract
A completely non-perturbative estimate is given for gA using both quenched and unquenched O(a) improved Wilson fermions. Particular attention is paid to the determination of the axial renormalisation constant, ZA, using the Ward identity for the propagator. For the quenched case, we have results at three lattice spacings allowing a continuum extrapolation.
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