Document Type
Article
Department/Program
Physics
Journal Title
Physical Review D
Pub Date
12-12-2016
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.
Recommended Citation
Jia, Shaoyang, How gauge covariance of the fermion and boson propagators in QED constrain the effective fermion-boson vertex (2016). Physical Review D, 94(11).
10.1103/PhysRevD.94.116004
DOI
10.1103/PhysRevD.94.116004
