How gauge covariance of the fermion and boson propagators in QED constrain the effective fermion-boson vertex
- 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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- Grant/Contract Number:
- AC05-06OR23177
- OSTI ID:
- 1335374
- Alternate ID(s):
- OSTI ID: 1335196
- Report Number(s):
- JLAB-THY-16-2373; DOE/OR-23177-3975
- Journal Information:
- Physical Review D, Vol. 94, Issue 11; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Landau-Khalatnikov-Fradkin transformation and the mystery of even -values in Euclidean massless correlators
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journal | November 2019 |
Exact solutions to the fermion propagator Schwinger-Dyson equation in Minkowski space with on-shell renormalization for quenched QED
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journal | August 2017 |
Exact Solutions to the Fermion Propagator Schwinger-Dyson Equation in Minkowski space with on-shell Renormalization for Quenched QED | text | January 2017 |
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