2007/12/21 by D. Epple, H. Reinhardt, Hugo Reinhardt +3 · 3 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Coulomb #Gauge (firearms) #Gauge boson #Gauge fixing #Gauge theory #Hamiltonian (control theory) #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Schrödinger equation #Yang–Mills theory #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.77.085007
published as Phys.Rev.D77:085007,2008 · 14 pages, 21 figures
arxiv created 2007/12/21 · openalex publication_date 2008/04/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the Hamiltonian approach to Coulomb gauge Yang-Mills theory, the functional Schr"odinger 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.