  We present preliminary results of data analysis for the non-perturbative
renormalization (NPR) on the self-energy of the quark propagators calculated
using HYP improved staggered fermions on the MILC asqtad lattices. We use the
momentum source to generate the quark propagators. In principle, using the
vector projection operator of $(\bar{\bar{\gamma_\mu \otimes 1}})$ and the
scalar projection operator $(\bar{\bar{1 \otimes 1}})$, we should be able to
obtain the wave function renormalization factor $Z_q'$ and the mass
renormalization factor $Z_q \cdot Z_m$. Using the MILC coarse lattice, we
obtain a preliminary but reasonable estimate of $Z_q'$ and $Z_q \cdot Z_m$ from
the data analysis on the self-energy.
