2014/02/28 by M. Brambilla, F. Di Renzo, M. Hasegawa · 5 citations
Physics and Astronomy · #Fermion #Gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Lattice field theory #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Regularization (linguistics) #Renormalization #Renormalization group #hep-lat
paper · pdf · doi:10.1140/epjc/s10052-014-2944-x
published in The European Physical Journal C 74(7) (Springer Science+Business Media) · 20 pages, 4 figures, pdflatex The Section on different ways of summing the series has been updated: a few extra informations have been provided and a clearer notation has been introduced
arxiv created 2014/06/23 · openalex publication_date 2014/07/01 · arxiv updated 2015/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
This is the third of a series of papers on three-loop computation of renormalization constants for Lattice QCD. Our main points of interest are results for the regularization defined by the Iwasaki gauge action and nf=4 Wilson fermions. Our results for quark bilinears renormalized according to the RI’-MOM scheme can be compared to non-perturbative results. The latter are available for twisted mass QCD: being defined in the chiral limit, the renormalization constants must be the same. We also address more general problems. In particular, we discuss a few methodological issues connected to summing the perturbative series such as the effectiveness of boosted perturbation theory and the disentanglement of irrelevant and finite-volume contributions. Discussing these issues we consider not only the new results of this paper, but also those for the regularization defined by the tree-level Symanzik improved gauge action and nf=2 Wilson fermions, which we presented in a recent paper of ours. We finally comment on the extent to which the techniques we put at work in the NSPT context can provide a fresher look into the lattice version of the RI’-MOM scheme.