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The Zilch Electromagnetic Conservation Law in Variational Characteristic Form

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Andersson,  Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1904.08639.pdf
(Preprint), 207KB

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Citation

Aghapour, S., Andersson, L., & Rosquist, K. (in preparation). The Zilch Electromagnetic Conservation Law in Variational Characteristic Form.


Cite as: https://hdl.handle.net/21.11116/0000-0003-8840-B
Abstract
In this paper we consider the zilch conservation laws for Maxwell theory and
demonstrate that in the duality-symmetric version of Maxwell theory, the zilch
arises as a Noether current for a variational symmetry of the duality symmetric
Lagrangian which we identify through an application of the reverse of the
Noether theorem. A variational symmetry leaves Lagrangian invariant up to a
total divergence, without restricting to solutions of the field equations. This
fact was previously known only for the so-called chirality current, i.e. the
$00$-component of zilch.