Details
| Original language | English |
|---|---|
| Pages (from-to) | 1528-1533 |
| Number of pages | 6 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 382 |
| Issue number | 23 |
| Early online date | 12 Apr 2018 |
| Publication status | Published - 12 Jun 2018 |
Abstract
We set up a correspondence between solutions of the Yang–Mills equations on R×S3 and in Minkowski spacetime via de Sitter space. Some known Abelian and non-Abelian exact solutions are rederived. For the Maxwell case we present a straightforward algorithm to generate an infinite number of explicit solutions, with fields and potentials in Minkowski coordinates given by rational functions of increasing complexity. We illustrate our method with a nontrivial example.
Keywords
- Electromagnetic knots, Maxwell equations, Yang–Mills on conformally flat spacetime
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 382, No. 23, 12.06.2018, p. 1528-1533.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A new construction of rational electromagnetic knots
AU - Lechtenfeld, Olaf
AU - Zhilin, Gleb
N1 - Funding information: We are grateful to A.D. Popov for helpful comments and pointing out literature, and to Y.M. Shnir for useful discussions. Z.G. is grateful to Weizmann Institute of Science for hospitality. This work was partially supported by the Deutsche Forschungsgemeinschaft grant LE 838/13 and by the Research Training Group RTG 1463 . This article is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology). We are grateful to A.D. Popov for helpful comments and pointing out literature, and to Y.M. Shnir for useful discussions. Z.G. is grateful to Weizmann Institute of Science for hospitality. This work was partially supported by the Deutsche Forschungsgemeinschaft grant LE 838/13 and by the Research Training Group RTG 1463. This article is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology).
PY - 2018/6/12
Y1 - 2018/6/12
N2 - We set up a correspondence between solutions of the Yang–Mills equations on R×S3 and in Minkowski spacetime via de Sitter space. Some known Abelian and non-Abelian exact solutions are rederived. For the Maxwell case we present a straightforward algorithm to generate an infinite number of explicit solutions, with fields and potentials in Minkowski coordinates given by rational functions of increasing complexity. We illustrate our method with a nontrivial example.
AB - We set up a correspondence between solutions of the Yang–Mills equations on R×S3 and in Minkowski spacetime via de Sitter space. Some known Abelian and non-Abelian exact solutions are rederived. For the Maxwell case we present a straightforward algorithm to generate an infinite number of explicit solutions, with fields and potentials in Minkowski coordinates given by rational functions of increasing complexity. We illustrate our method with a nontrivial example.
KW - Electromagnetic knots
KW - Maxwell equations
KW - Yang–Mills on conformally flat spacetime
UR - http://www.scopus.com/inward/record.url?scp=85045474779&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1711.11144
DO - 10.48550/arXiv.1711.11144
M3 - Article
AN - SCOPUS:85045474779
VL - 382
SP - 1528
EP - 1533
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 23
ER -