Constituent gluons and the static quark potential

Abstract

We suggest that Hamiltonian matrix elements between physical states in QCD might be approximated, in Coulomb gauge, by "lattice-improved" tree diagrams; i.e. tree diagram contributions with dressed ghost, transverse gluon, and Coulomb propagators obtained from lattice simulations. Such matrix elements can be applied to a truncated-basis treatment of hadronic states which include constituent gluons. As an illustration, we apply this hybrid approach to the heavy quark potential, for quark-antiquark separations up to 2.4 fm. The Coulomb string tension in SU(3) gauge theory is about a factor of four times greater than the asymptotic string tension. In our approach we show that a single constituent gluon is in principle sufficient, up to 2.4 fm, to reduce this overshoot by the factor required. The static potential remains linear, although the precise value of the string tension depends on details of the Couloumb gauge ghost and gluon propagators in the infrared regime. In this connection we present new lattice results for the transverse gluon propagator in position space.

18 pages, 14 figures. Revisions: use of an expanded basis of states, with a ghost propagator obtained from previous lattice studies

References in corpus (10)

• Coulomb gauge gluon propagator and the Gribov formula
• Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• The effective Coulomb potential in SU(3) lattice Yang-Mills theory
• Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• Coulomb-gauge ghost and gluon propagators in SU(3) lattice Yang-Mills theory
• Properties of Color-Coulomb String Tension
• Ghost propagator and the Coulomb form factor from the lattice
• Scaling study of the gluon propagator in Coulomb gauge QCD on isotropic and anisotropic lattices
• Coulomb string tension, asymptotic string tension, and the gluon chain

Cited by in corpus (6)

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• Different faces of confinement
• The Coulomb flux tube on the lattice
• From asymptotic freedom toward heavy quarkonia within the renormalization group procedure for effective particles
• The Equal-Time Quark Propagator in Coulomb Gauge
• Dynamical Quark Mass Generation in QCD\textsubscript{3} within the Hamiltonian approach in Coulomb gauge