Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
Dec, 2006Citations per year
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.- 12.38.Aw
- 14.70.Dj
- 11.10.Ef
- 12.38.Lg
- gauge field theory: Yang-Mills
- Coulomb gauge
- Hamiltonian formalism
- Dyson-Schwinger equation: solution
- vacuum state
- energy: density
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