Three-quark confinement potential from the Faddeev equation

2010/10/20 by Carina Popovici, C. Popovici, P. J. S. Watson +3
Physics and Astronomy · #Bound state #Color confinement #Gluon #High-Energy Particle Collisions Research #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #hep-ph

paper · pdf · doi:10.1103/physrevd.83.025013

published as Phys.Rev.D83:025013,2011 · 9 pages, 1 figure

arxiv created 2010/10/20 · openalex publication_date 2011/01/18 · arxiv updated 2011/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In the heavy quark limit of Coulomb gauge QCD and by truncating the Yang-Mills sector to include only dressed two-point functions, an analytic nonperturbative solution to the Faddeev equation for three-quark bound states in the case of equal quark separations is presented. A direct connection between the temporal gluon propagator and the three-quark confinement potential is provided and it is shown that only color-singlet qqq (baryon) states are physically allowed.

Citations

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