Nonlinear (magnetic) correction to the field of a static charge in an external field

@article{Gitman2012NonlinearC,
  title={Nonlinear (magnetic) correction to the field of a static charge in an external field},
  author={D. M. Gitman and Anatoly E. Shabad},
  journal={Physical Review D},
  year={2012},
  volume={86},
  pages={125028}
}
We find first nonlinear correction to the field, produced by a static charge at rest in a background constant magnetic field. It is quadratic in the charge and purely magnetic. The third-rank polarization tensor - the nonlinear response function - is written within the local approximation of the effective action in an otherwise model- and approximation-independent way within any P-invariant nonlinear electrodynamics, QED included. 

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