Electric-Magnetic Duality Invariant Lagrangians
Machiko Hatsuda, Kiyoshi Kamimura, Sayaka Sekiya
TL;DR
This paper constructs general non-linear Lagrangians for a U(1) gauge field that are invariant under electric-magnetic duality, extending Maxwell and Born-Infeld theories with arbitrary functions.
Contribution
It introduces a broad class of duality-invariant non-linear Lagrangians characterized by arbitrary functions, generalizing known theories like Maxwell and Born-Infeld.
Findings
Lagrangians reduce to Maxwell theory in weak fields
Explicit examples generalize Born-Infeld theory
Duality invariance is maintained in the constructed models
Abstract
We find general non-linear lagrangians of a U(1) field invariant under electric-magnetic duality. They are characterized by an arbitrary function and go to the Maxwell theory in the weak field limit. We give some explicit examples which are generalizations of the Born-Infeld theory.
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