Constructing the fermion-boson vertex in QED3

Abstract

We derive perturbative constraints on the transverse part of the fermion-boson vertex in massive QED3 through its one loop evaluation in an arbitrary covariant gauge. Written in a particular form, these constraints naturally lead us to the first non-perturbative construction of the vertex, which is in complete agreement with its one loop expansion in all momentum regimes. Without affecting its one-loop perturbative properties, we also construct an effective vertex in such a way that the unknown functions defining it have no dependence on the angle between the incoming and outgoing fermion momenta. Such a vertex should be useful for the numerical study of dynamical chiral symmetry breaking, leading to more reliable results.

13 pages, 2 figures

References in corpus (4)

• Quark-gluon vertex in arbitrary gauge and dimension
• Nonperturbative infrared dynamics of three-dimensional QED with a four-fermion interaction
• 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?

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