2000/09/19 by Marco Guagnelli, Roberto Petronzio, Juri Rolf +3 · 60 citations
Physics and Astronomy · #Constant (computer programming) #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice constant #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Renormalization #Scaling #hep-lat
paper · pdf · doi:10.1016/s0550-3213(00)00675-1
published in Nuclear Physics B 595(1-2), 44-62 (Elsevier BV) · 25 pages, 8 figures, minor change at figures
arxiv created 2000/09/19 · openalex publication_date 2001/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We determine the improvement coefficients bm and ba-bp in quenched lattice QCD for a range of beta-values, which is relevant for current large scale simulations. At fixed beta, the results are rather sensitive to the precise choices of parameters. We therefore impose improvement conditions at constant renormalized parameters, and the coefficients are then obtained as smooth functions of g02. Other improvement conditions yield a different functional dependence, but the difference between the coefficients vanishes with a rate proportional to the lattice spacing. We verify this theoretical expectation in a few examples and are therefore confident that O(a) improvement is achieved for physical quantities. As a byproduct of our analysis we also obtain the finite renormalization constant which relates the subtracted bare quark mass to the bare PCAC mass.