Renormalization of Bilinear Quark Operators for Overlap Fermions
Thomas DeGrand, Zhaofeng Liu
TL;DR
This paper computes non-perturbative renormalization constants for fermionic bilinears using overlap fermions with HYP links, highlighting the impact of zero modes and comparing results across schemes and perturbative methods.
Contribution
It provides the first non-perturbative renormalization constants for overlap fermions with HYP links, considering zero mode effects and scheme comparisons.
Findings
Zero modes significantly affect scalar and pseudoscalar renormalization constants.
Results are consistent between RI' and MS-bar schemes.
Comparison shows deviations from perturbative calculations.
Abstract
We present non-perturbative renormalization constants of fermionic bilinears on the lattice in the quenched approximation at beta=6.1 using an overlap fermion action with hypercubic(HYP)-blocked links. We consider the effects of the exact zero modes of the Dirac operator and find they are important in calculating the renormalization constants of the scalar and pseudoscalar density. The results are given in the RI' and MS bar schemes and compared to the perturbative calculations.
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