1997
DOI: 10.1006/aphy.1997.5708
|View full text |Cite
|
Sign up to set email alerts
|

Conformal Invariance and Electrodynamics: Applications and General Formalism

Abstract: 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 tran… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

1
32
0

Year Published

1999
1999
2019
2019

Publication Types

Select...
7

Relationship

0
7

Authors

Journals

citations
Cited by 25 publications
(33 citation statements)
references
References 21 publications
1
32
0
Order By: Relevance
“…However, we do not see them as truly new solutions, since we can recover the original form of the solution by simply changing the frame of reference. A more interesting possibility is to consider other kind of deformations, such as scaling and squeezing, or conformal transformations [28]. This is used sometimes in a different context in order to check the stability of soliton solutions (see e.g.…”
Section: Generating New Solutionsmentioning
confidence: 99%
“…However, we do not see them as truly new solutions, since we can recover the original form of the solution by simply changing the frame of reference. A more interesting possibility is to consider other kind of deformations, such as scaling and squeezing, or conformal transformations [28]. This is used sometimes in a different context in order to check the stability of soliton solutions (see e.g.…”
Section: Generating New Solutionsmentioning
confidence: 99%
“…The action of finite conformal transformations on coordinates x a ∈ R 4 is globally well defined on a compactification of Minkowski space, R 4 → S 3 × S 1 , or some multiple covering 4 and similar considerations apply in the superconformal case 4 For a discussion of some global issues see [15].…”
Section: Superconformal Transformationsmentioning
confidence: 99%
“…From the trace of the formulae in (4.4) we may find 14) and then using this with (4.13) allows us to obtain finally 15) where the supercurrent is now given by 16) and, using the chiral properties (4.5) of σ h ,σh,…”
Section: Supercurrent and Ward Identitiesmentioning
confidence: 99%
See 1 more Smart Citation
“…Since the electric field produced by just one electric charge in hyperbolic motion does not fill the whole of spacetime (even if we combine the retarded field with the advanced field), the apparition of the second particle seemed necessary. Codirla and Osborn [4] justify in this way the derivation of the Born solution: "The fields obtained by conformal transformation are nonzero everywhere for all time and are, of course, solutions of Maxwell's equations. They are related to, but not identical with, the standard retarded, or advanced, solutions, since these are zero on half of space-time.…”
Section: Discussionmentioning
confidence: 98%