The Physical Propagator of a Slowly Moving Charge

Abstract

We consider an electron which is electromagnetically dressed in such a way that it is both gauge invariant and that it has the associated electric and magnetic fields expected of a moving charge. We study the propagator of this dressed electron and, for small velocities, show explicitly at one loop that at the natural (on-shell) renormalisation point, $p_0=m$, $\mathbf{p}=m\mathbf{v}$, one can renormalise the propagator multiplicatively. Furthermore the renormalisation constants are infra-red finite. This shows that the dressing we use corresponds to a slowly moving, physical asymptotic field.

10 pages, plain TeX, 1 Figure (uuencoded needs epsfig.sty)

References in corpus (3)

• A New Symmetry for QED
• Observables and Gauge Fixing in Spontaneously Broken Gauge Theories
• Perturbative and Non-Perturbative Quarks and Gluons

Cited by in corpus (4)

• Constituent Quarks from QCD
• An Infra-Red Finite Electron Propagator
• Gauge Independence in terms of the Functional Integral
• How do constituent quarks arise in QCD? Perturbation theory and the infra-red