Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
D Epple, H Reinhardt, W Schleifenbaum… - Physical Review D …, 2008 - APS
D Epple, H Reinhardt, W Schleifenbaum, AP Szczepaniak
Physical Review D—Particles, Fields, Gravitation, and Cosmology, 2008•APSIn the Hamiltonian approach to Coulomb gauge Yang-Mills theory, the functional
Schrödinger 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.
Schrödinger 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.
In the Hamiltonian approach to Coulomb gauge Yang-Mills theory, the functional Schrödinger 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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