Deconstructing the vertex Ansatz in three dimensional quantum electrodynamics

Abstract

We consider the problem of designing an Ansatz for the fermion-photon vertex function, using three-dimensional quantum electrodynamics as a test case. In many existing studies, restrictions have been placed on the form of the vertex Ansatz by making the unsubstantiated assumption that in the quenched, massless limit the Landau gauge Dyson-Schwinger equations admit a trivial solution. We demonstrate, without recourse to this assumption, the existence of a non-local gauge in which the fermion propagator is the bare propagator. This result is used to provide a viable Ansatz for part of the vertex function.

14 pages, 2 postscript figures, uses epsfig.sty

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Cited by in corpus (10)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED
• Landau-Khalatnikov-Fradkin Transformations and the Fermion Propagator in Quantum Electrodynamics
• Non-perturbative Fermion Propagator for the Massless Quenched QED3
• Does the weak coupling limit of the Burden-Tjiang deconstruction of the massless quenched QED3 vertex agree with perturbation theory?
• Constructing the fermion-boson vertex in QED3
• Landau-Khalatnikov-Fradkin transformation and the mystery of even $\zeta$-values in Euclidean massless correlators
• Landau-Khalatnikov-Fradkin transformation of the fermion propagator in massless reduced QED
• Nonperturbative Vertices in Supersymmetric Quantum Electrodynamics
• Discussion for the Solutions of Dyson-Schwinger Equations at m>0 in QED3