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Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge

D. Epple·H. Reinhardt·W. Schleifenbaum
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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.

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D. Epple, H. Reinhardt, W. Schleifenbaum. 2007-04-02. Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge. https://doi.org/10.1103/physrevd.75.045011

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