Non-perturbative Renormalization of Bilinear Operators on Fine Lattice

Abstract

We present results of the wave function renormalization factor $Z_q$ and mass renormalization factor $Z_m$ obtained using non-perturbative renormalization (NPR) method in the RI-MOM scheme with HYP improved staggered quarks. We use fine ensembles of MILC asqtad lattices ($N_f=2+1$) with $28^3\times 96$ geometry, $a\approx 0.09$\,fm, and $a{m}_{\ell }/a{m}_s=0.0062/0.031$. We also study on scalability of $Z_q$ and $Z_m$ by comparing the results on the coarse and fine ensembles.

Comments: 7 pages, 6 figures, Proceedings of the 33rd International Symposium on Lattice Field Theory, July 14-18, 2015, Kobe, Japan