Conformal Invariance and Electrodynamics: Applications and General Formalism

Details Conformal Invariance and Electrodynamics: Applications and General Formalism Conformal Invariance and Electrodynamics: Applications and General Formalism

1997-01-14

arxiv.org/abs/hep-th/9701064v1

Annals Phys. 260 (1997) 91-116

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 1 figure, plain tex, uses harvmac, epsf

Scientific paper

10.1006/aphy.1997.5708

The role of the conformal group in electrodynamics in four space-time dimensions is re-examined. As a pedagogic example we use the application of conformal transformations to find the electromagnetic field for a charged particle moving with a constant relativistic acceleration from the Coulomb electric field for the particle at rest. We also re-consider the reformulation of Maxwell's equations on the projective cone, which is isomorphic to a conformal compactification on Minkowski space, so that conformal transformations, belonging to the group O(4,2), are realised linearly. The resulting equations are different from those postulated previously and respect additional gauge invariances which play an essential role in ensuring consistency with conventional electrodynamics on Minkowski space. The solution on the projective cone corresponding to a constantly accelerating charged particle is discussed.

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