Coulomb energy and gluon distribution in the presence of static sources

Abstract

We compute the energy of the ground state and a low lying excitation of the gluonic field in the presence of static quark -anti-quark ($\qq$) sources. We show that for separation between the sources less then a few fm the gluonic ground state of the static $\qq$ system can be well described in terms of a mean field wave functional with the excited states corresponding to a single quasi-particle excitation of the gluon field. We also discuss the role of many particle excitations relevant for large separation between sources.

arXiv comment14 pages, 11 figures

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• Quark Confinement: The Hard Problem of Hadron Physics
• Spin structure of heavy-quark hybrids
• QCD Coulomb gauge approach to hybrid mesons
• Energy spectrum of the low-lying gluon excitations in the Coulomb gauge
• Charmonium meson and hybrid radiative transitions
• Hybrid mesons and auxiliary fields
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• Coulomb string tension, asymptotic string tension, and the gluon chain
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• The bottom-charmed meson spectrum from a QCD approach based on Tamm--Dancoff approximation
• Constituent gluons and the static quark potential
• Equal-time two-point correlation functions in Coulomb gauge Yang-Mills theory
• Dyson-Schwinger approach to strongly coupled theories
• Short-range potentials from QCD at order $g^2$
• Mixing and $m_q$ dependence of axial vector mesons in the Coulomb gauge QCD model
• Color halo scenario of charmonium-like hybrids
• Lattice QCD analysis for Faddeev-Popov eigenmodes in terms of gluonic momentum components in the Coulomb gauge
• Hybrid meson masses and the correlated Gaussian basis
• Gluon chain formation in presence of static charges
• Gluelump spectrum from Coulomb gauge QCD