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arXiv · 0712.3694

Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge

D. Epple·H. Reinhardt·W. Schleifenbaum·A. P. Szczepaniak
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Abstract

In the Hamiltonian approach to Coulomb gauge Yang-Mills theory, the functional Schroedinger equation is solved variationally resulting in a set of coupled Dyson-Schwinger equations. These equations are solved self-consistently in the subcritical regime defined by infrared finite form factors. It is shown that the Dyson-Schwinger equation for the Coulomb form factor fails to have a solution in the critical regime where all form factors have infrared divergent power laws.

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D. Epple, H. Reinhardt, W. Schleifenbaum, A. P. Szczepaniak. 2007-12-21. Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge. https://doi.org/10.1103/physrevd.77.085007

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