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

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.

14 pages, 21 figures

References in corpus (4)

• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• Dimensional Reduction and the Yang-Mills Vacuum State in 2+1 Dimensions
• The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge

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