1993/03/17 by Conrad J. Burden, Craig D. Roberts · 5 citations
Mathematics · Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Chiral symmetry breaking #Covariance #Gauge theory #Graph #Massless particle #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Vertex (graph theory) #hep-th
paper · pdf · doi:10.1103/physrevd.47.5581
published as Phys.Rev.D47:5581-5588,1993 · 17 pages, PHY-7143-TH-93, REVTEX
arxiv created 1993/03/17 · openalex publication_date 1993/06/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the quenched approximation, the gauge covariance properties of three vertex Ansaiuml---tze in the Schwinger-Dyson equation for the fermion self-energy are analyzed in three- and four-dimensional quantum electrodynamics. Based on the Cornwall-Jackiw-Tomboulis effective action, it is inferred that the spectral representation used for the vertex in the gauge technique cannot support dynamical chiral symmetry breaking. A criterion for establishing whether a given Ansatz can confer gauge covariance upon the Schwinger-Dyson equation is presented and the Curtis and Pennington Ansatz is shown to satisfy this constraint. We obtain an analytic solution of the Schwinger-Dyson equation for quenched, massless three-dimensional quantum electrodynamics for arbitrary values of the gauge parameter in the absence of dynamical chiral symmetry breaking.