2009/10/15 by M. Pak, H. Reinhardt, Hugo Reinhardt · 16 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Coulomb #Gauge boson #Gauge fixing #Gauge theory #Gluon #Hamiltonian (control theory) #Lattice (music) #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Planar #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Wilson loop #hep-th
paper · pdf · doi:10.1103/physrevd.80.125022
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 80(12) (American Physical Society) · 12 pages, 7 figures
arxiv created 2009/10/15 · openalex publication_date 2009/12/21 · arxiv updated 2010/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Dyson equation proposed for planar temporal Wilson loops in the context of supersymmetric gauge theories is critically analyzed thereby exhibiting its ingredients and approximations involved. We reveal its limitations and identify its range of applicability in nonsupersymmetric gauge theories. In particular, we show that this equation is applicable only to strongly asymmetric planar Wilson loops (consisting of a long and a short pair of loop segments) and as a consequence the Wilsonian potential can be extracted only up to intermediate distances. By this equation the Wilson loop is exclusively determined by the gluon propagator. We solve the Dyson equation in Coulomb gauge for the temporal Wilson loop with the instantaneous part of the gluon propagator and for the spatial Wilson loop with the static gluon propagator obtained in the Hamiltonian approach to continuum Yang-Mills theory and on the lattice. In both cases we find a linearly rising color potential.