Fluid-electromagnetic helicities and knotted solutions of the fluid-electromagnetic equations

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Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorTel Aviv University-
Autor(es): dc.contributorSUNY-
Autor(es): dc.creatorNastase, Horatiu-
Autor(es): dc.creatorSonnenschein, Jacob-
Data de aceite: dc.date.accessioned2025-08-21T21:01:57Z-
Data de disponibilização: dc.date.available2025-08-21T21:01:57Z-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2022-11-30-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/JHEP12(2022)144-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/248107-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/248107-
Descrição: dc.descriptionIn this paper we consider an Euler fluid coupled to external electromagnetism. We prove that the Hopfion fluid-electromagnetic knot, carrying fluid and electromagnetic (EM) helicities, solves the fluid dynamical equations as well as the Abanov Wiegmann (AW) equations for helicities, which are inspired by the axial-current anomaly of a Dirac fermion. We also find a nontrivial knot solution with truly interacting fluid and electromagnetic fields. The key ingredients of these phenomena are the EM and fluid helicities. An EM dual system, with a magnetically charged fluid, is proposed and the analogs of the AW equations are written down. We consider a fluid coupled to a nonlinear generalizations for electromagnetism. The Hopfions are shown to be solutions of the generalized equations. We write down the formalism of fluids in 2+1 dimensions, and we dimensionally reduce the 3+1 dimensional solutions. We determine the EM knotted solutions, from which we derive the fluid knots, by applying special conformal transformations with imaginary parameters on un-knotted null constant EM fields.-
Descrição: dc.descriptionInstituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II, SP-
Descrição: dc.descriptionSchool of Physics and Astronomy The Raymond and Beverly Sackler Faculty of Exact Sciences Tel Aviv University-
Descrição: dc.descriptionSimons Center for Geometry and Physics SUNY-
Descrição: dc.descriptionInstituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II, SP-
Idioma: dc.languageen-
Relação: dc.relationJournal of High Energy Physics-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectField Theory Hydrodynamics-
Palavras-chave: dc.subjectSolitons Monopoles and Instantons-
Título: dc.titleFluid-electromagnetic helicities and knotted solutions of the fluid-electromagnetic equations-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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