Perturbative and Nonperturbative 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.

54 pages, 15 figures; v2: several clarifications and additions, two more figures, results unchanged; v3: typos in eqs.(C33) and (E2) corrected, results unchanged

References in corpus (9)

• Precise determination of the lattice spacing in full lattice QCD
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• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• On the reduction of hypercubic lattice artifacts
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• On cutoff effects in lattice QCD from short to long distances
• Perturbative determination of $c_{SW}$ for plaquette and Symanzik gauge action and stout link clover fermions
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