2005/10/31 by E. Bagán, E. Bagan, Martin Lavelle +3
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.1016/j.physletb.2005.11.038
published as Phys.Lett. B632 (2006) 652-656 · 11 pages, some clarifications and typographical corrections, to appear in Physics Letters B
arxiv created 2005/11/15 · openalex publication_date 2005/11/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The inter-quark potential is dominated by anti-screening effects which underly asymptotic freedom. We calculate the order g6 anti-screening contribution from light fermions and demonstrate that these effects introduce a non-local divergence. These divergences are shown to make it impossible to define a coupling renormalisation scheme that renormalises this minimal, anti-screening potential. Hence the beta function cannot be divided into screening and anti-screening parts beyond lowest order. However, we then demonstrate that renormalisation can be carried out in terms of the anti-screening potential.