Details
Originalsprache | Englisch |
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Titel des Sammelwerks | Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" |
Untertitel | PoS(Regio2020) |
Publikationsstatus | Veröffentlicht - 23 Apr. 2021 |
Veranstaltung | 2020 RDP Online Workshop "Recent Advances in Mathematical Physics" - Virtual, Online Dauer: 5 Dez. 2020 → 6 Dez. 2020 |
Publikationsreihe
Name | Proceedings of Science |
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Herausgeber (Verlag) | Sissa Medialab Srl |
Band | 394 |
Abstract
We find all analytic SU(2) Yang-Mills solutions on de Sitter space by reducing the field equations to Newton's equation for a particle in a particular 3d potential and solving the latter in a special case. In contrast, Maxwell's equations on de Sitter space can be solved in generality, by separating them in hysperspherical coordinates. Employing a well-known conformal map between (half of) de Sitter space and (the future half of) Minkowski space, the Maxwell solutions are mapped to a complete basis of rational electromagnetic knot configurations. We discuss some of their properties and illustrate the construction method with two nontrivial examples given by rational functions of increasing complexity. The material is partly based on [1, 2].
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Proceedings of RDP online workshop "Recent Advances in Mathematical Physics": PoS(Regio2020). 2021. (Proceedings of Science; Band 394).
Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Beitrag in Buch/Sammelwerk › Forschung
}
TY - CHAP
T1 - Electromagnetic knots from de Sitter space
AU - Lechtenfeld, Olaf
PY - 2021/4/23
Y1 - 2021/4/23
N2 - We find all analytic SU(2) Yang-Mills solutions on de Sitter space by reducing the field equations to Newton's equation for a particle in a particular 3d potential and solving the latter in a special case. In contrast, Maxwell's equations on de Sitter space can be solved in generality, by separating them in hysperspherical coordinates. Employing a well-known conformal map between (half of) de Sitter space and (the future half of) Minkowski space, the Maxwell solutions are mapped to a complete basis of rational electromagnetic knot configurations. We discuss some of their properties and illustrate the construction method with two nontrivial examples given by rational functions of increasing complexity. The material is partly based on [1, 2].
AB - We find all analytic SU(2) Yang-Mills solutions on de Sitter space by reducing the field equations to Newton's equation for a particle in a particular 3d potential and solving the latter in a special case. In contrast, Maxwell's equations on de Sitter space can be solved in generality, by separating them in hysperspherical coordinates. Employing a well-known conformal map between (half of) de Sitter space and (the future half of) Minkowski space, the Maxwell solutions are mapped to a complete basis of rational electromagnetic knot configurations. We discuss some of their properties and illustrate the construction method with two nontrivial examples given by rational functions of increasing complexity. The material is partly based on [1, 2].
UR - http://www.scopus.com/inward/record.url?scp=85105687231&partnerID=8YFLogxK
U2 - 10.22323/1.394.0011
DO - 10.22323/1.394.0011
M3 - Contribution to book/anthology
AN - SCOPUS:85105687231
T3 - Proceedings of Science
BT - Proceedings of RDP online workshop "Recent Advances in Mathematical Physics"
T2 - 2020 RDP Online Workshop "Recent Advances in Mathematical Physics", Regio 2020
Y2 - 5 December 2020 through 6 December 2020
ER -