Landau-Khalatnikov-Fradkin transformation for the fermion propagator in QED in arbitrary dimensions
Journal Article
·
· Physical Review D
- College of William and Mary, Williamsburg, VA (United States)
- College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Here, we explore the dependence of fermion propagators on the covariant gauge fixing parameter in quantum electrodynamics (QED) with the number of spacetime dimensions kept explicit. Gauge covariance is controlled by the the Landau -Khalatnikov-Fradkin transformation (LKFT). Utilizing its group nature, the LKFT for a fermion propagator in Minkowski space is solved exactly. The special scenario of 3D has been used to test claims made for general cases. When renormalized correctly, the simplification of the LKFT in 4D has been achieved with the help of fractional calculus.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- Grant/Contract Number:
- AC05-06OR23177
- OSTI ID:
- 1357536
- Alternate ID(s):
- OSTI ID: 1351048
- Report Number(s):
- JLAB-THY-16-2356; DOE/OR/23177-3951; arXiv:1610.06436; IPPP/16/94; PRVDAQ
- Journal Information:
- Physical Review D, Vol. 95, Issue 7; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Landau-Khalatnikov-Fradkin transformation and the mystery of even -values in Euclidean massless correlators
|
journal | November 2019 |
Exact solutions to the fermion propagator Schwinger-Dyson equation in Minkowski space with on-shell renormalization for quenched QED
|
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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