Magnetic Monopoles, Electric Neutrality and the Static Maxwell-Dirac Equations

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dc.creatorRadford, Chris
dc.creatorBooth, Hilary
dc.date1998-09-01
dc.date.accessioned2026-07-07T10:54:14Z
dc.date.available2026-07-07T10:54:14Z
dc.descriptionWe study the full Maxwell-Dirac equations: Dirac field with minimally coupled electromagnetic field and Maxwell field with Dirac current as source. Our particular interest is the static case in which the Dirac current is purely time-like -- the "electron" is at rest in some Lorentz frame. In this case we prove two theorems under rather general assumptions. Firstly, that if the system is also stationary (time independent in some gauge) then the system as a whole must have vanishing total charge, i.e. it must be electrically neutral. In fact, the theorem only requires that the system be {\em asymptotically} stationary and static. Secondly, we show, in the axially symmetric case, that if there are external Coulomb fields then these must necessarily be magnetically charged -- all Coulomb external sources are electrically charged magnetic monopoles.
dc.identifierhttps://arxiv.org/abs/math-ph/9809001
dc.identifierhttp://arxiv.org/abs/math-ph/9809001
dc.identifierJ.Phys.A32:5807-5822,1999
dc.identifierdoi:10.1088/0305-4470/32/31/306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185739
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleMagnetic Monopoles, Electric Neutrality and the Static Maxwell-Dirac Equations
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