Excited hybrid quark-antiquark channels are color-octet at short distance and exponentially relax to random color, with screening masses ordered B(Σ_g^+) ~ B(Π_u) < B(Π_u') ~ B(Δ_g) < B(Δ_g') < B(Σ_g^+').
Gluon Chain Model of the Confining Force
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abstract
We develop a picture of the QCD string as a chain of constituent gluons, bound by attractive nearest-neighbor forces which may be treated perturbatively. This picture accounts for both Casimir scaling at large N, and the asymptotic center dependence of the static quark potential. We discuss the relevance, to the gluon-chain picture, of recent three-loop results for the static quark potential. A variational framework is presented for computing the minimal energy and wavefunction of a long gluon chain, which enables us to derive both the logarithmic broadening of the QCD flux tube (``roughening''), and the existence of a Luscher -c/R term in the potential.
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Lattice QCD study of color correlations between static quarks with gluonic excitations
Excited hybrid quark-antiquark channels are color-octet at short distance and exponentially relax to random color, with screening masses ordered B(Σ_g^+) ~ B(Π_u) < B(Π_u') ~ B(Δ_g) < B(Δ_g') < B(Σ_g^+').