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

@article{Costa2013NonlinearCI, title={Nonlinear corrections in basic problems of electro- and magneto-statics in the vacuum}, author={Caio V. Costa and D. M. Gitman and Anatoly E. Shabad}, journal={Physical Review D}, year={2013}, volume={88}, pages={085026} }

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 nonlinear corrections to the Coulomb and other static electric fields, as well as to the electric and magnetic dipole fields, as we work within QED with no background field. The nonlinear response function on which we base our consideration is the fourth-rank polarization tensor, calculated within the local…

## 14 Citations

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

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- 2015

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…

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Nonlinear Maxwell equations are written up to the third-power deviations from a constant-field background, valid within any local nonlinear electrodynamics including QED with a Euler-Heisenberg (EH)…

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- 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…

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- 2017

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- PhysicsPhysical Review D
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Two-phase transition branches of the Euler-Heisenberg (EH) anti-de Sitter (AdS) black hole (BH) were derived from its phase transition critical behavior by Magos et al. [Phys. Rev. D. 102, 084011…

### Kinematics and Selection Rules for Light-by-Light Scattering in a Strong Magnetic Field

- PhysicsUniverse
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Selection rules that follow from parity and four-momentum conservation are listed for head-on light-by-light scattering in a strong magnetic field taking into account nontrivial dispersion laws of…

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- 2020

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