Perturbative and Nonperturbative Renormalization in Lattice QCD
M. G\"ockeler, R. Horsley, Y. Nakamura, H. Perlt, D. Pleiter, P. E. L., Rakow, A. Sch\"afer, G. Schierholz, A. Schiller, H. St\"uben, J. M. Zanotti
TL;DR
This paper compares perturbative and nonperturbative renormalization methods for bilinear quark operators in lattice QCD, using Monte Carlo simulations and the RI-MOM scheme, to improve understanding of hadronic structure calculations.
Contribution
It provides a detailed comparison between nonperturbative RI-MOM results and two-loop lattice perturbation theory for bilinear operators in lattice QCD.
Findings
Nonperturbative renormalization results differ from perturbative estimates.
Two-loop calculations show improved agreement with nonperturbative results.
The study enhances the precision of operator renormalization in lattice QCD.
Abstract
We investigate the perturbative and nonperturbative renormalization of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields (quark-antiquark operators). These include operators which are relevant to the calculation of moments of hadronic structure functions. The nonperturbative computations are based on Monte Carlo simulations with two flavors of clover fermions and utilize the Rome-Southampton method also known as the RI-MOM scheme. We compare the results of this approach with various estimates from lattice perturbation theory, in particular with recent two-loop calculations.
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