2003/06/05 by Silvia Necco, Necco, Silvia
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.hep-lat/0306005
openalex publication_date 2003/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The potential between a static quark and antiquark in pure SU(3) Yang-Mills theory is evaluated non-perturbatively through computations on the lattice in the region from short to intermediate distances (0.05 fm < r < 0.8 fm). In the high energy regime the results are compared with the parameter-free prediction of perturbation theory obtained by solving the Renormalization Group equation at two and three loops. The choice of the renormalization scheme to define a running coupling turns out to be important for the accuracy of the perturbative prediction: by obtaining the running coupling through the force, perturbation theory is applicable up to alpha ~ 0.3, while from the static potential only up to alpha ~ 0.15. In the region where perturbation is supposed to be reliable, no large unexpected non-perturbative term is observed. In the second part of this work, universality and scaling behavior of different formulations of Yang-Mills theory on the lattice are discussed, in particular the Iwasaki and DBW2 actions. The deconfinement temperature Tc*r0 and the glueball masses (m0++)*r0, (m2++)*r0 are analyzed. Particular attention is dedicated to the violation of physical positivity which occur in these actions and the consequences in the extraction of physical quantities from Euclidean correlation functions.