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

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

2007-12-21

arxiv.org/abs/0712.3694v1

Phys.Rev.D77:085007,2008

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 21 figures

Scientific paper

10.1103/PhysRevD.77.085007

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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