Coulomb gauge confinement in the heavy quark limit

Details Coulomb gauge confinement in the heavy quark limit Coulomb gauge confinement in the heavy quark limit

2010-03-19

arxiv.org/abs/1003.3863v1

Phys.Rev.D81:105011,2010

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 6 figures

Scientific paper

10.1103/PhysRevD.81.105011

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.

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