Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge

Details Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge

2004-08-31

arxiv.org/abs/hep-th/0408236v1

Phys.Rev.D70:105021,2004

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, revtex, 13 figures

Scientific paper

10.1103/PhysRevD.70.105021

The Yang-Mills Schr\"odinger equation is solved in Coulomb gauge for the vacuum by the variational principle using an ansatz for the wave functional, which is strongly peaked at the Gribov horizon. A coupled set of Schwinger-Dyson equations for the gluon and ghost propagators in the Yang-Mills vacuum as well as for the curvature of gauge orbit space is derived and solved in one-loop approximation. We find an infrared suppressed gluon propagator, an infrared singular ghost propagator and a almost linearly rising confinement potential.

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