Lagrangian Formulation, Generalizations and Quantization of Null Maxwell's Knots
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Data
2018-08-01
Autores
Nastase, Horatiu [UNESP]
Sonnenschein, Jacob
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Resumo
Knotted solutions to electromagnetism are investigated as an independent subsector of the theory. We write down a Lagrangian and a Hamiltonian formulation of Bateman's construction for the knotted electromagnetic solutions. We introduce a general definition of the null condition and generalize the construction of Maxwell's theory to massless free complex scalar, its dual two form field, and to a massless DBI scalar. We set up the framework for quantizing the theory both in a path integral approach, as well as the canonical Dirac method for a constrained system. We make several observations about the semi-classical quantization of systems of null configurations.
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knotted Maxwell solutions, Lagrangian formulation
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Fortschritte der Physik, v. 66, n. 8-9, 2018.