Aspects of Confinement in Coulomb Gauge
Abstract
I present some new results regarding confinement as it appears in Coulomb gauge. It is found that: i) a recently proposed Yang-Mills vacuum wavefunctional in temporal gauge and 2+1 dimensions yields a Coulomb-gauge ghost propagator and linear Coulomb potential in good agreement with lattice Monte Carlo results; ii) adding a few constituent gluons to heavy quark-antiquark states brings the interaction energy much closer to that of the static quark potential, and suggests the beginnings of gluon-chain formation at roughly one fermi; iii) a perturbative approach to Faddeev-Popov eigenvalues indicates that the zero eigenvalue at the Gribov horizon may occur either at, or away from, p=0, depending on the gauge choice and spacetime dimension. This last result may be relevant to the qualitatively different infrared behavior of the ghost propagator in Coulomb and Landau gauges.
Keywords
Cite
@article{arxiv.0911.1381,
title = {Aspects of Confinement in Coulomb Gauge},
author = {Jeff Greensite},
journal= {arXiv preprint arXiv:0911.1381},
year = {2011}
}
Comments
12 pages, 9 figures. Talk at the International Workshop on QCD Green's Functions, Confinement and Phenomenology, September 2009, Trento, Italy