### 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, p0 = m, p = mv, 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.

Original language | English |
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Pages (from-to) | 128-134 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 370 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 7 Mar 1996 |

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## Cite this

Bagan, E., Lavelle, M., & McMullan, D. (1996). The physical propagator of a slowly moving charge.

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,*370*(1-2), 128-134. https://doi.org/10.1016/0370-2693(96)00049-4