Constructing the fermion-boson vertex in QED3

Details Constructing the fermion-boson vertex in QED3 Constructing the fermion-boson vertex in QED3

2001-03-29

arxiv.org/abs/hep-ph/0103306v1

Phys.Rev. D64 (2001) 105001

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 2 figures

Scientific paper

10.1103/PhysRevD.64.105001

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.

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