Details
| Original language | English |
|---|---|
| Journal | Proceedings of Science |
| Volume | 347 |
| Publication status | Published - 19 Sept 2019 |
| Event | 2018 Corfu Summer Institute "School and Workshops on Elementary Particle Physics and Gravity", CORFU 2018 - Corfu, Greece Duration: 31 Aug 2018 → 28 Sept 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 some nontrivial examples.
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In: Proceedings of Science, Vol. 347, 19.09.2019.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - A new construction of rational electromagnetic knots
AU - Lechtenfeld, Olaf
AU - Zhilin, Gleb
N1 - Funding Information: This work was partially supported by the Deutsche Forschungsgemeinschaft under grant LE 838/13 and by the Heisenberg–Landau program. It is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology).
PY - 2019/9/19
Y1 - 2019/9/19
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 some nontrivial examples.
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 some nontrivial examples.
UR - http://www.scopus.com/inward/record.url?scp=85074937965&partnerID=8YFLogxK
U2 - 10.22323/1.347.0149
DO - 10.22323/1.347.0149
M3 - Conference article
VL - 347
JO - Proceedings of Science
JF - Proceedings of Science
T2 - 2018 Corfu Summer Institute "School and Workshops on Elementary Particle Physics and Gravity", CORFU 2018
Y2 - 31 August 2018 through 28 September 2018
ER -