Lagrangian Formulation, Generalizations and Quantization of Null Maxwell's Knots

Autor(es)

Nastase, Horatiu ^[1] ; Sonnenschein, Jacob ^[2]

Afiliação do(s) autor(es)

^[1] UNESP Univ Estadual Paulista, Inst Fis Teor, R Dr Bento T Ferraz 271, Bl 2, BR-01140070 Sao Paulo, SP - Brazil

^[2] Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Phys & Astron, IL-69978 Ramat Aviv - Israel

• Tipo de documento: Artigo Científico
• Fonte: FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS; v. 66, n. 8-9 AUG-SEP 2018.
• Citações Web of Science: 0

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. (AU)

• Processo FAPESP: 14/18634-9 - Dualidade gravitação/Teoria de Gauge
• Beneficiário: Victor de Oliveira Rivelles
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 16/01343-7 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para física teórica
• Beneficiário: Nathan Jacob Berkovits
• Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais