  We illustrate that both of massless pseudoscalar meson fields and
constitutent quark fields are dynamical field degrees of freedom in energy
region between chiral symmetry spontaneously broken scale and quark confinement
scale. This physical configuration yields a renormalization running axial
coupling constant $g_{_A}(\mu)$. The one-loop renormalization prediction
$g_{_A}(\mu=m_{_N})=0.75$ and $g_{_A}(\mu=m_\pi)=0.96$ agree with $\beta$ decay
of neutron and $\pi^0\to\gamma\gamma$ respectively. We also calculate
$\rho^\pm\to\gamma\pi$ and $\omega\to\gamma\pi$ decays up to the next to
leading order of $N_c^{-1}$ expansion and including all order effects of vector
meson momentum expansion. The results strongly support prediction of
renormalization running, $g_{_A}(\mu=m_\rho)=0.77$.
