Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge

Details Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge

2006-12-21

arxiv.org/abs/hep-th/0612241v2

Phys.Rev.D75:045011,2007

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 3 figures, references added.

Scientific paper

10.1103/PhysRevD.75.045011

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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