Lagrangian Formulation, Generalizations and Quantization of Null Maxwell's Knots
Loading...
Files
External sources
External sources
Date
Authors
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Type
Article
Access right
Acesso restrito
Files
External sources
External sources
Abstract
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.
Description
Keywords
knotted Maxwell solutions, Lagrangian formulation
Language
English
Citation
Fortschritte der Physik, v. 66, n. 8-9, 2018.
