Coulomb gauge confinement in the heavy quark limit
arXiv:1003.3863 · doi:10.1103/PhysRevD.81.105011
Abstract
The relationship between the nonperturbative Green's functions of Yang-Mills theory and the confinement potential is investigated. By rewriting the generating functional of quantum chromodynamics in terms of a heavy quark mass expansion in Coulomb gauge, restricting to leading order in this expansion and considering only the two-point functions of the Yang-Mills sector, the rainbow-ladder approximation to the gap and Bethe-Salpeter equations is shown to be exact in this case and an analytic, nonperturbative solution is presented. It is found that there is a direct connection between the string tension and the temporal gluon propagator. Further, it is shown that for the 4-point quark correlation functions, only confined bound states of color-singlet quark-antiquark (meson) and quark-quark (baryon) pairs exist.
22 pages, 6 figures
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Cited by in corpus (20)
- The Infrared Behaviour of the Pure Yang-Mills Green Functions
- The quark-gluon vertex in Landau gauge bound-state studies
- Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
- Spectra of heavy mesons in the Bethe-Salpeter approach
- Bottomonium in a Bethe-Salpeter-equation study
- Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
- The Coulomb gauge ghost Dyson-Schwinger equation
- Leading order infrared quantum chromodynamics in Coulomb gauge
- Variational approach to Yang-Mills theory at finite temperatures
- Renormalized quark-antiquark Hamiltonian induced by a gluon mass ansatz in heavy-flavor QCD
- On a new approach to meson phenomenology with the Bethe-Salpeter equation
- Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe-Salpeter-equation approach
- Higher order heavy quark Green's functions in Coulomb gauge
- Three-quark confinement potential from the Faddeev equation
- The Gribov horizon and the one-loop color-Coulomb potential
- 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