P Gaspard 1989 J. Phys. A: Math. Gen. 22 4589 doi:10.1088/0305-4470/22/21/021
A model of electron propagation in Zwanziger's formulation of quantum electrodynamics
P Gaspard
Show affiliationsThe author reports a study of the infrared properties of the electron propagator in a framework which uses a gauge-invariant electromagnetic potential. The quantisation of the electromagnetic potential is performed in the Zwanziger formulation (1979) of quantum electrodynamics to avoid the usual infrared divergence. The Kallen-Lehmann representation of the infrared electron propagator in the photon vacuum is shown to be well defined and convergent in this framework. Furthermore, he shows that the probability density of an electron wavepacket propagating in the vacuum decreases like (time)-3, a well known property which is recovered here in quantum electrodynamics.
- PACS
- MSC
- Subjects
- Dates
-
Issue 21 (7 November 1989)
-
A model of electron propagation in Zwanziger's formulation of quantum electrodynamics
P Gaspard 1989 J. Phys. A: Math. Gen. 22 4589
-
First-principles quantum dynamics in interacting Bose gases II: stochastic gauges
P Deuar and P D Drummond 2006 J. Phys. A: Math. Gen. 39 2723
-
Stability of small-amplitude normal modes of a Bose–Einstein condensate with a singly quantized vortex confined in an optical lattice
Aranya B Bhattacherjee et al 2004 J. Phys. B: At. Mol. Opt. Phys. 37 2355
-
Gauge constructs and immersions of four-dimensional spacetimes in (4 + k)-dimensional flat spaces: algebraic evaluation of gravity fields
Dominic G B Edelen 2003 Class. Quantum Grav. 20 3661
-
Simultaneous determination of anisotropic thermal conductivities of liquid crystals by means of a photothermal self-diffracting technique
Hiroshi Ono and Kazuaki Shibata 2000 J. Phys. D: Appl. Phys. 33 L137
-
High resolution spectroscopy of the ns' autoionizing resonances in Ar
J Landais et al 1995 J. Phys. B: At. Mol. Opt. Phys. 28 2395
-
Double differential cross sections for electron ejection from helium by fast protons
D K Gibson and I D Reid 1986 J. Phys. B: At. Mol. Phys. 19 3265
-
Bilinearization and soliton solutions of the N = 1 supersymmetric sine-Gordon equation
B Grammaticos et al 2001 J. Phys. A: Math. Gen. 34 4881
-
On particle creation in the flat FRW chart of de Sitter spacetime
Jaume Haro and Emilio Elizalde 2008 J. Phys. A: Math. Theor. 41 372003
-
A MEMS-based silicon micropump with intersecting channels and integrated hotwires
Van Thanh Dau et al 2009 J. Micromech. Microeng. 19 125016
Related review articles
What's this?- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- Spectral problems in open quantum chaos
- Lectures on localization and matrix models in supersymmetric Chern–Simons-matter theories
super-Yang–Mills*