Three-quark confinement potential from the Faddeev equation

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.

9 pages, 1 figure

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Cited by in corpus (9)

• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Leading order infrared quantum chromodynamics in Coulomb gauge
• Higher order heavy quark Green's functions in Coulomb gauge
• Tri-meson bound state $BB{B}^{\ast }$ via delocalized $\pi$~Bond
• Dyson--Schwinger approach to Hamiltonian Quantum Chromodynamics
• Dyson-Schwinger approach to strongly coupled theories
• Bethe-Salpeter equation at leading order in Coulomb gauge
• Heavy tetraquark confining potential in Coulomb gauge QCD
• Quark sector of Coulomb gauge Quantum Chromodynamics