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arXiv · hep-th/9512118

The Physical Propagator of a Slowly Moving Charge

Emili Bagan·Martin Lavelle·David McMullan
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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, $p_0=m$, ${\bold p}= m{\bold v}$, 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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Emili Bagan, Martin Lavelle, David McMullan. 1995-12-15. The Physical Propagator of a Slowly Moving Charge. https://doi.org/10.1016/0370-2693(96)00049-4

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