Exact solutions to the fermion propagator Schwinger-Dyson equation in Minkowski space with on-shell renormalization for quenched QED
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); 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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- AC05-06OR23177
- OSTI ID:
- 1392567
- Alternate ID(s):
- OSTI ID: 1377967
- Report Number(s):
- JLAB-THY-17-2465; arXiv:1705.04523; PRVDAQ
- Journal Information:
- Physical Review D, Vol. 96, Issue 3; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Cited by: 7 works
Citation information provided by
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