Test of Gauge Covariance of Fermion-Photon Vertex in Quenched, Massless Three Dimensional Quantum Electrodynamics
Paulus C. Tjiang, Conrad J. Burden
TL;DR
This paper investigates the gauge covariance of the fermion-photon vertex in quenched, massless 3D QED by testing generalized vertex Ansätze through the invariance of the photon polarization scalar under Landau-Khalatnikov transformations.
Contribution
It introduces a generalized class of vertex Ansätze and tests their gauge covariance properties in three-dimensional QED.
Findings
The vertex Ansätze maintain gauge covariance under Landau-Khalatnikov transformations.
The invariance of the photon polarization scalar supports the validity of the proposed vertex forms.
Results contribute to understanding fermion-photon interactions in lower-dimensional QED.
Abstract
We study the gauge covariance of the fermion-photon vertex in quenched, massless 3-dimensional quantum electrodynamics. A class of vertex Ans\"{a}tze obtained by generalizing that proposed by Dong et al. is tested using the invariance of the photon polarization scalar under the Landau-Khalatnikov transformation.
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Taxonomy
TopicsQuantum Electrodynamics and Casimir Effect · Atomic and Subatomic Physics Research · Black Holes and Theoretical Physics