Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge

Epple, D.; Reinhardt, H.; Schleifenbaum, W.

Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge

Authors

Epple, D.

Reinhardt, H.

Schleifenbaum, W.

Description

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.
9 pages, 3 figures, references added.