Issue |
EPL
Volume 96, Number 6, December 2011
|
|
---|---|---|
Article Number | 60001 | |
Number of page(s) | 3 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/96/60001 | |
Published online | 30 November 2011 |
No-go theorem for the classical Maxwell-Lorentz electrodynamics in odd-dimensional worlds
1
Escuela de Física, Universidad Autónoma de Zacatecas - Apartado Postal C-580 Zacatecas 98068, Zacatecas, Mexico
2
Russian Federal Nuclear Center - Sarov, 607190 Nizhnii Novgorod Region, Russia
a
achubykalo@yahoo.com.mx
b
drespinozag@yahoo.com.mx
c
kosyakov@vniief.ru
Received:
7
September
2011
Accepted:
27
October
2011
If the conventional Maxwell-Lorentz formulation of classical electrodynamics is adopted in a flat spacetime of arbitrary odd dimension, then the retarded vector potential Aμ generated by a point charge turns out to be pure gauge, Aμ=∂μχ. By Gauss' law, the charge shows up as zero. The classical electromagnetic coupling is thus missing from odd-dimensional worlds. If the action is augmented by the addition of the Chern-Simons term, then the classical interaction picture in the three-dimensional world becomes nontrivial.
PACS: 03.50.De – Classical electromagnetism, Maxwell equations / 11.10.Kk – Field theories in dimensions other than four
© EPLA, 2011
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