2000/09/11 by Alfredo Takashi Suzuki, Alfredo T. Suzuki, Alexandre G. M. Schmidt · 2 citations
Physics and Astronomy · #Electromagnetic Scattering and Analysis #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.1007/s100520100581
published as Eur.Phys.J.C19:391-396,2001 · 8 pages, Revtex
arxiv created 2000/09/11 · openalex publication_date 2001/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Coulomb gauge has at least two advantadges over other gauge choices in that bound states between quarks and studies of confinement are easier to understand in this gauge. However, perturbative calculations, namely Feynman loop integrations are not well-defined (there are the so-called energy integrals) even within the context of dimensional regularization. Leibbrandt and Williams proposed a possible cure to such a problem by splitting the space-time dimension into D=ω+ρ, i.e., introducing a specific one parameter ρ to regulate the energy integrals. The aim of our work is to apply negative dimensional integration method (NDIM) to the Coulomb gauge integrals using the recipe of split-dimension parameters and present complete results -- finite and divergent parts -- to the one and two-loop level for arbitrary exponents of propagators and dimension.