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Title: Landau-Khalatnikov-Fradkin transformation for the fermion propagator in QED in arbitrary dimensions

Journal Article · · Physical Review D
 [1];  [2]
  1. College of William and Mary, Williamsburg, VA (United States)
  2. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
+ Show Author Affiliations

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

References (14)

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Cited By (3)

Landau-Khalatnikov-Fradkin transformation and the mystery of even ζ -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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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS