Document Type

Article

Department/Program

Physics

Pub Date

12-12-2016

Place of Publication

PHYSICAL REVIEW D

Volume

94

Issue

11

Abstract

We derive the gauge covariance requirement imposed on the QED fermion-photon three-point function within the framework of a spectral representation for fermion propagators. When satisfied, such requirement ensures solutions to the fermion propagator Schwinger-Dyson equation (SDE) in any covariant gauge with arbitrary numbers of spacetime dimensions to be consistent with the LandauKhalatnikov- Fradkin transformation (LKFT). The general result has been verified by the special cases of three and four dimensions. Additionally, we present the condition that ensures the vacuum polarization is independent of the gauge parameter. As an illustration, we show how the gauge technique dimensionally regularized in four dimensions does not satisfy the covariance requirement.

DOI

10.1103/PhysRevD.94.116004

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