On Lagrangian and non-Lagrangian conformal-invariant nonlinear electrodynamics

Steven Duplij, Gerald A. Goldin, Vladimir M. Shtelen

Research output: Contribution to journalReview articlepeer-review

1 Scopus citations


A general approach is presented to describe nonlinear classical Maxwell electrodynamics with conformal symmetry in flat spacetime. We introduce generalized nonlinear constitutive equations, expressed in terms of constitutive tensors dependent on conformal-invariant functions of the field strengths. This allows a characterization of Lagrangian and non-Lagrangian theories. We obtain a general formula for possible Lagrangian densities in nonlinear conformal-invariant electrodynamics. This generalizes the standard Lagrangian of classical linear electrodynamics so as to preserve the conformal symmetry.

Original languageEnglish (US)
Article number025501
JournalPhysica Scripta
Issue number2
StatePublished - 2020

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics


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