2007/09/20 by A. Skouroupathis, H. Panagopoulos · 7 citations
Physics and Astronomy · #Coupling constant #Fermion #Gluon #High-Energy Particle Collisions Research #Lambda #Lattice (music) #Lattice QCD #Lattice field theory #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Renormalization #hep-lat
paper · pdf · doi:10.1103/physrevd.76.114514
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 76(11) (American Physical Society) · 11 pages, 3 figures, 3 tables
arxiv created 2007/09/20 · openalex publication_date 2007/12/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We compute the ratio \ensuremathΛL/\ensuremathΛ_MS, where the scale parameter \ensuremathΛL is associated with a lattice formulation of QCD. We consider a 3-parameter family of gluon actions, which are most frequently used for O(a) improvement \`a la Symanzik. The gluon action is put together with standard discretizations for fermions (Wilson/clover, overlap), to provide \ensuremathΛL for several possible combinations of fermion and gluon actions. We employ the background field technique in order to calculate the 1PI 2-point function of the background field; this leads to the coupling constant renormalization function, Zg, at 1-loop level. Our results are obtained for an extensive range of values for the Symanzik coefficients.