English

Color-Coulomb Force Calculated from Lattice Coulomb Hamiltonian

High Energy Physics - Theory 2009-10-30 v1 High Energy Physics - Lattice

Abstract

The static color-Coulomb potential is calculated as the solution of a non-linear integral equation. This equation has been derived recently as a self-consistency condition which arises in the Coulomb Hamiltonian formulation of lattice gauge theory when the restriction to the interior of the Gribov horizon is implemented. The potential obtained is in qualitative agreement with expectations, being Coulombic with logarithmic corrections at short range and confining at long range. The values obtained for the string tension and ΛMS\Lambda_{\overline{MS}} are in semi-quantitative agreement with lattice Monte Carlo and phenomenological determinations.

Keywords

Cite

@article{arxiv.hep-th/9611037,
  title  = {Color-Coulomb Force Calculated from Lattice Coulomb Hamiltonian},
  author = {Attilio Cucchieri and Daniel Zwanziger},
  journal= {arXiv preprint arXiv:hep-th/9611037},
  year   = {2009}
}

Comments

4 pages (including 1 figure); (latex using espcrc2.sty). Talk presented at LATTICE96(poster)