The Yang-Mills vacuum in Coulomb gauge
D. Epple, C. Feuchter, H. Reinhardt
TL;DR
This paper solves the Yang-Mills Schrödinger equation in Coulomb gauge to explore the vacuum state, revealing confinement features such as an infrared suppressed gluon propagator and a linearly rising potential.
Contribution
It introduces a variational approach with an ansatz peaked at the Gribov horizon to analyze the Yang-Mills vacuum, providing new insights into confinement mechanisms.
Findings
Infrared suppressed gluon propagator
Infrared singular ghost propagator
Linearly rising confinement potential
Abstract
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. We find an infrared suppressed gluon propagator, an infrared singular ghost propagator and an almost linearly rising confinement potential. Using these solutions we calculate the electric field of static color charge distributions relevant for mesons and baryons.
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