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“School of Physic”

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Paper   IPM / Physic / 15653
School of Physics
  Title:   The Zilch Electromagnetic Conservation Law in Variational Characteristic Form
  Author(s): 
1.  S. Aghapour
2.  L. Andersson
3.  K. Rosquist
  Status:   Preprint
  Journal:
  Year:  2019
  Supported by:  IPM
  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.

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