Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge

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.

9 pages, 3 figures, references added.

References in corpus (2)

• Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
• Solving a Set of Truncated Dyson-Schwinger Equations with a Globally Converging Method

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