Nonlinearity in Electro- and Magneto-statics with and without External Field

  title={Nonlinearity in Electro- and Magneto-statics with and without External Field},
  author={Tiago Adorno and Caio V. Costa and Dmitri Maximovitch Gitman and Anatoly E. Shabad},
  journal={arXiv: High Energy Physics - Theory},
Due to the nonlinearity of QED, a static charge becomes a magnetic dipole if placed in a magnetic field. Already without external field, the cubic Maxwell equation for the field of a point charge has a soliton solution with a finite field energy. Equations are given for selfcoupling dipole moments. Any theoretically found value for a multipole moment of a baryon or a meson should be subjected to nonlinear renormalization. 



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