Speaker
Description
The field renormalization constant of flowed quark fields, denoted as $Z_\chi$, is a critical component in the non-perturbative renormalization of fermion operators within the gradient flow framework. While the conventional ``ringed'' scheme based on the fermion kinetic term provides a theoretically robust definition, its practical implementation on the lattice is hampered by significant statistical noise arising from disconnected contributions. In this work, we propose a novel approach to determine $Z_\chi$ using quark bilinears. To validate our approach, we use the extracted $Z_\chi$ to reconstruct the renormalized bilinear matrix elements $O^R$ for the pseudoscalar, scalar, axial-vector, and tensor channels in the continuum limit.Our results demonstrate excellent consistency between the gradient flow and RI/MOM frameworks, confirming that the bilinear-based $Z_\chi$ provides a reliable and computationally efficient alternative for high-precision lattice QCD calculations.
