Non-perturbative renormalization of bilinear operators with Möbius domain-wall fermions in the coordinate space

Abstract

We study the non-perturbative determination of the renormalization constants of flavor non-singlet quark bilinear operators on the lattice. The renormalization condition is imposed on correlation functions of bilinear operators in the coordinate space. The results are converted to the value at 2 GeV in the $\overline{\mathrm{MS}}$ scheme by a perturbative matching. The calculation is carried out on gauge configurations generated with the Mobius domain-wall fermions at two lattice spacings $a^{-1}=2.4$ GeV and $a^{-1}=3.6$ GeV.

Comments: 7 pages, 7 figures; talk presented at Lattice 2014 -- 32nd International Symposium on Lattice Field Theory, 23-28 June, 2014, Columbia University New York, NY