How gauge covariance of the fermion and boson propagators in QED constrain the effective fermion-boson vertex

Jia, Shaoyang; Pennington, M. R.

doi:10.1103/PhysRevD.94.116004

How gauge covariance of the fermion and boson propagators in QED constrain the effective fermion-boson vertex

Journal Article · Mon Dec 12 00:00:00 EST 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.94.116004· OSTI ID:1335374

Jia, Shaoyang ^[1]; Pennington, M. R. ^[2]

College of William and Mary, Williamsburg, VA (United States). Physics Dept.
College of William and Mary, Williamsburg, VA (United States). Physics Dept.; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center

In this paper, 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 Landau-Khalatnikov-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. Finally, as an illustration, we show how the gauge technique dimensionally regularized in four dimensions does not satisfy the covariance requirement.

View Accepted Manuscript (DOE)

Research Organization:: College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1335374

Alternate ID(s):: OSTI ID: 1335196

Report Number(s):: DOE/OR--23177-3975; JLAB-THY--16-2373

Journal Information:: Physical Review D, Journal Name: Physical Review D Journal Issue: 11 Vol. 94; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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