Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
High Energy Physics - Theory
2008-11-26 v2 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
The Dyson-Schwinger equations arising from minimizing the vacuum energy density in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge are solved numerically. A new solution is presented which gives rise to a strictly linearly rising static quark potential and whose existence was previously observed in the infrared analysis of the Dyson-Schwinger equations. For the new solution we also present the static quark potential and calculate the running coupling constant from the ghost-gluon vertex.
Keywords
Cite
@article{arxiv.hep-th/0612241,
title = {Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge},
author = {D. Epple and H. Reinhardt and W. Schleifenbaum},
journal= {arXiv preprint arXiv:hep-th/0612241},
year = {2008}
}
Comments
9 pages, 3 figures, references added.