Exact solutions to the fermion propagator Schwinger-Dyson equation in Minkowski space with on-shell renormalization for quenched QED

Jia, Shaoyang; Pennington, M. R.

doi:10.1103/PhysRevD.96.036021

Exact solutions to the fermion propagator Schwinger-Dyson equation in Minkowski space with on-shell renormalization for quenched QED

Journal Article · Tue Aug 01 00:00:00 EDT 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.96.036021· OSTI ID:1392567

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

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); Glasgow Univ. (United Kingdom)

With the introduction of a spectral representation, the Schwinger-Dyson equation (SDE) for the fermion propagator is formulated in Minkowski space in QED. After imposing the on-shell renormalization conditions, analytic solutions for the fermion propagator spectral functions are obtained in four dimensions with a renormalizable version of the Gauge Technique anzatz for the fermion-photon vertex in the quenched approximation in the Landau gauge. Despite the limitations of this model, having an explicit solution provides a guiding example of the fermion propagator with the correct analytic structure. The Padé approximation for the spectral functions is also investigated.

View Accepted Manuscript (DOE)

Research Organization:: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1392567

Report Number(s):: JLAB--THY-17-2465; JLAB--THY-17-2465; arXiv:1705.04523

Journal Information:: Physical Review D, Journal Name: Physical Review D Journal Issue: 3 Vol. 96; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited By (4)

Quark Propagator in Minkowski Space Solis, E. L.; Costa, C. S. R.; Luiz, V. V. Few-Body Systems, Vol. 60, Issue 3 https://doi.org/10.1007/s00601-019-1517-9	journal	June 2019
Scattering amplitudes and contour deformations Eichmann, Gernot; Duarte, Pedro; Peña, M. T. Physical Review D, Vol. 100, Issue 9 https://doi.org/10.1103/physrevd.100.094001	journal	November 2019
Landau-Khalatnikov-Fradkin transformation and the mystery of even ζ -values in Euclidean massless correlators Kotikov, A. V.; Teber, S. Physical Review D, Vol. 100, Issue 10 https://doi.org/10.1103/physrevd.100.105017	journal	November 2019
Scattering amplitudes and contour deformations Eichmann, Gernot; Duarte, Pedro; Peña, M. T. arXiv https://doi.org/10.48550/arxiv.1907.05402	text	January 2019

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