Abstract
The axial-vector renormalization constant is related to low-energy pion-nucleon scattering amplitude by dispersing the axial-vector vertex in the nucleon mass and using the idea of threshold dominance. The low-energy pion-nucleon amplitude, in turn, can be related to the axial-vector renormalization, giving rise to a consistency condition involving $\frac{{g}_{A}}{{g}_{V}}$ and the pion-nucleon coupling constant. The solution to this consistency condition is in rough agreement with the observed value.
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