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

Abstract

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.

Authors:
 [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); Glasgow Univ. (United Kingdom)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1392567
Alternate Identifier(s):
OSTI ID: 1377967
Report Number(s):
JLAB-THY-17-2465; arXiv:1705.04523
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
AC05-06OR23177
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Jia, Shaoyang, and Pennington, M. R. Exact solutions to the fermion propagator Schwinger-Dyson equation in Minkowski space with on-shell renormalization for quenched QED. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.036021.
Jia, Shaoyang, & Pennington, M. R. Exact solutions to the fermion propagator Schwinger-Dyson equation in Minkowski space with on-shell renormalization for quenched QED. United States. doi:10.1103/PhysRevD.96.036021.
Jia, Shaoyang, and Pennington, M. R. Tue . "Exact solutions to the fermion propagator Schwinger-Dyson equation in Minkowski space with on-shell renormalization for quenched QED". United States. doi:10.1103/PhysRevD.96.036021. https://www.osti.gov/servlets/purl/1392567.
@article{osti_1392567,
title = {Exact solutions to the fermion propagator Schwinger-Dyson equation in Minkowski space with on-shell renormalization for quenched QED},
author = {Jia, Shaoyang and Pennington, M. R.},
abstractNote = {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.},
doi = {10.1103/PhysRevD.96.036021},
journal = {Physical Review D},
number = 3,
volume = 96,
place = {United States},
year = {2017},
month = {8}
}

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