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Open AccessArticle

A Non-Local Action for Electrodynamics: Duality Symmetry and the Aharonov-Bohm Effect, Revisited

1
Physik Department, Ludwig-Maximilians-Universität München, Theresienstraße 37, D-80333 München, Germany
2
Physik Department, Technische Universität München, James Franck Straße 1, D-85748 Garching, Germany
3
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Facultad de Física, Universidad de Valencia, Valencia, 46100 Burjassot, Spain
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(10), 1191; https://doi.org/10.3390/sym11101191
Received: 5 September 2019 / Revised: 16 September 2019 / Accepted: 19 September 2019 / Published: 21 September 2019
(This article belongs to the Special Issue Symmetry in Electromagnetism)
A non-local action functional for electrodynamics depending on the electric and magnetic fields, instead of potentials, has been proposed in the literature. In this work we elaborate and improve this proposal. We also use this formalism to confront the electric-magnetic duality symmetry of the electromagnetic field and the Aharonov–Bohm effect, two subtle aspects of electrodynamics that we examine in a novel way. We show how the former can be derived from the simple harmonic oscillator character of vacuum electrodynamics, while also demonstrating how the magnetic version of the latter naturally arises in an explicitly non-local manner. View Full-Text
Keywords: non-local action; electrodynamics; electromagnetic duality symmetry; Aharonov-Bohm effect non-local action; electrodynamics; electromagnetic duality symmetry; Aharonov-Bohm effect
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MDPI and ACS Style

Bernabeu, J.; Navarro-Salas, J. A Non-Local Action for Electrodynamics: Duality Symmetry and the Aharonov-Bohm Effect, Revisited. Symmetry 2019, 11, 1191.

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