Dynamics of confined gluons

Abstract

Propagation of gluons in the confining vacuum is studied in the framework of the background perturbation theory, where nonperturbative background contains confining correlators. Two settings of the problem are considered. In the first the confined gluon is evolving in time together with static quark and antiquark forming the one-gluon static hybrid. The hybrid spectrum is calculated in terms of string tension and is in agreement with earlier analytic and lattice calculations. In the second setting the confined gluon is exchanged between quarks and the gluon Green's function is calculated, giving rise to the Coulomb potential modified at large distances. The resulting screening radius of 0.5 fm presents a serious problem when confronting with lattice and experimental data. A possible solution of this discrepancy is discussed.

17 pages, no figures; v2: minor numerical changes in the table

References in corpus (3)

• Quark confinement and the bosonic string
• The ${\eta }_c(3654)$ and hyperfine splitting in charmonium
• The heavy-quark pole masses in the Hamiltonian approach

Cited by in corpus (8)

• Excited bottom and bottom-strange mesons in the quark model
• Spectra and decays of hybrid charmonia
• Hadron physics potential of future high-luminosity B-factories at the Upsilon(5S) and above
• Variational Minimization on String-rearrangement Surfaces, Illustrated by an Analysis of the Bilinear Interpolation
• The radial Regge trajectories and leptonic widths of the isovector mesons
• Dynamics of the quark-antiquark interaction and the universality of Regge trajectories
• QCD string in excited heavy-light mesons and heavy-quark hybrids
• Color screening in flux tubes and in the color Coulomb potential from the QCD Field Correlators