2000/05/29 by Stefano Capitani · 1 citation
Physics and Astronomy · #Covariant transformation #Fermion #Lattice (music) #Monte Carlo method #Operator (biology) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quantum chromodynamics #Quark #Renormalization #hep-lat
paper · pdf · doi:10.1016/s0550-3213(00)00576-9
published as Nucl.Phys. B592 (2001) 183-202 · 23 pages, 1 Postscript figure, uses elsevier style. Small corrections made in eqs. (6), (7), (13), (15), (17), (19), (20), (21) and (A.8), with no influence on the results
arxiv created 2000/05/29 · openalex publication_date 2001/01/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using the overlap-Dirac operator proposed by Neuberger, we have computed in lattice QCD the one-loop renormalization factors of ten operators which measure the lowest two moments of unpolarized and polarized non-singlet quark distributions. These factors are necessary to extract physical numbers from Monte Carlo simulations made with overlap fermions. An exact chiral symmetry is maintained in all our results, and the renormalization constants of corresponding unpolarized and polarized operators which differ by a γ5 matrix have the same value. We have considered two lattice representations for each continuum operator. The computations have been carried out using the symbolic language FORM, in a general covariant gauge. In some simple cases they have also been checked by hand.