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arXiv · hep-ph/0103306

Constructing the fermion-boson vertex in QED3

A. Bashir·A. Raya
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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.

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A. Bashir, A. Raya. 2001-03-29. Constructing the fermion-boson vertex in QED3. https://doi.org/10.1103/physrevd.64.105001

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