Non-Perturbative Renormalization for Staggered Fermions (Self-energy Analysis)

Understand

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.