2005/11/30 by Maria B. Parappilly, Maria Parappilly, Patrick O. Bowman +6 · 118 citations
Physics and Astronomy · #Geometry #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Renormalization #Renormalization group #Scaling #hep-lat
paper · pdf · doi:10.1103/physrevd.73.054504
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 73(5) (American Physical Society) · 6 pages, 5 figures
arxiv created 2006/03/02 · openalex publication_date 2006/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the scaling behavior of the quark propagator on two lattices with similar physical volume in Landau gauge with 2+1 flavors of dynamical quarks in order to test whether we are close to the continuum limit for these lattices. We use configurations generated with an improved staggered (``Asqtad'') action by the MILC collaboration. The calculations are performed on 283\ifmmode×\else\texttimes\fi96 lattices with lattice spacing a=0.09 fm and on 203\ifmmode×\else\texttimes\fi64 lattices with lattice spacing a=0.12 fm. We calculate the quark mass function, M(q2), and the wave-function renormalization function, Z(q2), for a variety of bare quark masses. Comparing the behavior of these functions on the two sets of lattices we find that both Z(q2) and M(q2) show little sensitivity to the ultraviolet cutoff.