The Physical Propagator of a Slowly Moving Charge

Details The Physical Propagator of a Slowly Moving Charge The Physical Propagator of a Slowly Moving Charge

1995-12-15

arxiv.org/abs/hep-th/9512118v1

Phys.Lett. B370 (1996) 128-134

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0370-2693(96)00049-4

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, $p_0=m$, ${\bold p}= m{\bold v}$, 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.

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