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.
@article{arxiv.1003.5756,
title = {Perturbative and Nonperturbative Renormalization in Lattice QCD},
author = {M. Göckeler and R. Horsley and Y. Nakamura and H. Perlt and D. Pleiter and P. E. L. Rakow and A. Schäfer and G. Schierholz and A. Schiller and H. Stüben and J. M. Zanotti},
journal= {arXiv preprint arXiv:1003.5756},
year = {2012}
}
Comments
54 pages, 15 figures; v2: several clarifications and additions, two more figures, results unchanged; v3: typos in eqs.(C33) and (E2) corrected, results unchanged