Does the weak coupling limit of the Burden-Tjiang deconstruction of the massless quenched QED3 vertex agree with perturbation theory?

Abstract

We derive constraints on the non-perturbative 3-point fermion-boson transverse vertex in massless QED3 from its perturbative calculation to order $\alpha$. We also check the transversality condition to two loops and evaluate the fermion propagator to the same order. We compare a conjecture of the non-perturbative vertex by Burden and Tjiang against our results and comment on its draw backs. Our calculation calls for the need to construct a non-perturbative form for the fermion-boson vertex which agrees with its perturbative limit to $\mathcal{O}(\alpha )$.

11 Pages, 2 Figures

References in corpus (1)

• Deconstructing the vertex Ansatz in three dimensional quantum electrodynamics

Cited by in corpus (27)

• Dynamical Chiral Symmetry Breaking in Unquenched ${QED}_3$
• Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED
• Dynamical chiral symmetry breaking and the fermion--gauge-boson vertex
• Regarding confinement and dynamical chiral symmetry breaking in QED3
• Landau-Khalatnikov-Fradkin Transformations and the Fermion Propagator in Quantum Electrodynamics
• Truncated Schwinger-Dyson Equations and Gauge Covariance in QED3
• QCD: Restoration of Chiral Symmetry and Deconfinement for Large N_f
• Multiphoton amplitudes and generalized LKF transformation in Scalar QED
• Constructing the fermion-boson vertex in QED3
• Local Gauge Transformation for the Quark Propagator in an SU(N) Gauge Theory
• The nonperturbative propagator and vertex in massless quenched QED_d
• Landau-Khalatnikov-Fradkin transformation and the mystery of even $\zeta$-values in Euclidean massless correlators
• Effect of the Quark-Gluon Vertex on Dynamical Chiral Symmetry Breaking
• 3-point off-shell vertex in scalar QED in arbitrary gauge and dimension
• The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking
• Critical Number of Flavours in QED
• Gauge dependence of the quark gap equation: an exploratory study
• Landau-Khalatnikov-Fradkin transformation of the fermion propagator in massless reduced QED
• Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED
• Vacuum Polarization and Dynamical Chiral Symmetry Breaking: Phase Diagram of QED with Four-Fermion Contact Interaction
• Electron-Photon Vertex and Dynamical Chiral Symmetry Breaking in Reduced QED: An Advanced Study of Gauge Invariance
• Constructing Scalar-Photon Three Point Vertex in Massless Quenched Scalar QED
• Infrared behaviour of massless QED in space-time dimensions 2 < d < 4
• Four-loop singularities of the massless fermion propagator in quenched three-dimensional QED
• Off-shell Green functions at one-loop level in Maxwell-Chern-Simons quantum electrodynamics
• Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator
• Non-perturbative gauge transformations of arbitrary fermion correlation functions in quantum electrodynamics