QCD forces and heavy quark bound states

Abstract

The present knowledge of QCD confining forces between static test charges is summarised, with an emphasis on lattice results. Recent developments in relating QCD potentials to quarkonium properties by use of effective field theory methods are presented. The validity of non-relativistic QCD and the adiabatic approximation with respect to heavy quark bound states is explored. Besides the static potential and relativistic correction terms, the spectra of glueballs and gluinoballs, hybrid excitations of the QCD flux tube between fundamental colour sources, potentials between charges in various representations of the SU(3) gauge group, and multi-particle interactions are discussed. Some implications for quarkonia systems and quark-gluon hybrid mesons are drawn.

massive review article (145 pages), v2: typos corrected, minor errors removed, potentially misleading statements reformulated, references updated

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• Static SU(3) potentials for sources in various representations
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• Renormalization group analysis of the QCD quark potential to order v^2
• Adjoint string breaking in 4d SU(2) Yang-Mills theory
• The static QCD potential in coordinate space with quark masses through two loops
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• Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories
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• Three-quark potential at finite temperature and chemical potential
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• Confining string and its widening in HP1 embedding approach
• Revisiting the flux tube spectrum of 3d SU(2) lattice gauge theory
• Instanton effects on charmonium states
• Radiative decays in charmonium beyond the p/m approximation
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• Making confining strings out of mesons
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• Charmed baryons in nuclear matter
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• Baryons under Strong Magnetic Fields or in Theories with Space-dependent $\theta$-term
• Short-range potentials from QCD at order $g^2$
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• Hadron-hadron potentials coupled to quark degrees of freedom for exotic hadrons
• Three-quark potentials in an $SU(3)$ effective Polyakov loop model
• Multiquark contributions to charm baryon spectroscopy
• Interquark potential for the charmonium system with almost physical quark masses
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• Quantum Computing for Heavy Quarkonium Spectroscopy
• Heavy Hadron Spectroscopy
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• Double-winding Wilson loops in the $SU(N)$ Yang-Mills theory
• Heavy-Quarkonium Potential from the Lattice Gluon Propagator
• Confinement of fermions in tachyon matter
• Radiative decays in bottomonium beyond the long wave length approximation
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• ${\chi }_{c1}(2p)$: an overshadowed charmoniumlike resonance
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• Phenomenology of Strong Interactions -- Towards an Effective Theory for Low Energy QCD
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• Stability of pentaquarks with a two- plus three-body chromoelectric interaction
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• Quarkonium Suppression
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• Quark confinement via magnetic color-flavor locking
• Model Independent Results for Heavy Quarkonium
• Towards the understanding of the meson spectra
• Analysis of coupled-channel potentials with quark and hadron degrees of freedom
• Confinement of Fermions in Tachyon Matter at Finite Temperature
• Heavy quark potential from QCD-related effective coupling
• In-medium static quark potential from spectral functions on realistic HISQ ensembles
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• Coupled-channel meson-meson scattering in the diabatic framework
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• Exotic hadrons associated with $b$-quark
• Radiative Decays of Vector Mesons with Light-Cone Sum Rules
• Spectroscopy and Decay Properties of Excited Charmonium States
• Gauge-invariant approach to quark dynamics