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

@article{Adorno2014NonlinearityIE, 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}, year={2014}, pages={384-390} }

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.

## References

SHOWING 1-5 OF 5 REFERENCES

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

- Physics
- 2012

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…

### Nonlinear corrections in basic problems of electro- and magneto-statics in the vacuum

- Physics
- 2013

We point that any theoretically found value for an electromagnetic multipole of a baryon or a meson should be subjected to ``renormalization'' due to nonlinearity of QED. We find third-power…

### Magnetic response to applied electrostatic field in external magnetic field

- Physics
- 2014

We show, within QED and other possible nonlinear theories, that a static charge localized in a finite domain of space becomes a magnetic dipole, if it is placed in an external (constant and…

### Electric charge is a magnetic dipole when placed in a background magnetic field

- Physics
- 2014

It is demonstrated, owing to the nonlinearity of QED, that a static charge placed in a strong magnetic field\ $B$\ is a magnetic dipole (besides remaining an electric monopole, as well). Its magnetic…

### Finite field-energy of a point charge in QED

- Physics
- 2013

We consider a simple nonlinear (quartic in the fields) gauge-invariant modification of classical electrodynamics, to show that it possesses a regularizing ability sufficient to make the field energy…