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arXiv · 1905.01927

On Lagrangian and non-Lagrangian conformal-invariant nonlinear electrodynamics

Steven Duplij·Gerald A. Goldin·Vladimir M. Shtelen
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Abstract

A general approach is presented to describing nonlinear classical Maxwell electrodynamics with conformal symmetry. We introduce generalized nonlinear constitutive equations, expressed in terms of constitutive tensors dependent on conformal-invariant functionals 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.

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Steven Duplij, Gerald A. Goldin, Vladimir M. Shtelen. 2019-05-06. On Lagrangian and non-Lagrangian conformal-invariant nonlinear electrodynamics. https://doi.org/10.1088/1402-4896%2Fab407c

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