# 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.

## 19 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…

### Coulomb field in a constant electromagnetic background

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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)…

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

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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…

### Magnetic response from constant backgrounds to Coulomb sources

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- 2017

Within general nonlinear electrodynamics given by a local action, very special magnetic field configuration carrying no magnetic charge is found as a linear response of the vacuum, filled with…

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

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- 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…

### Spatial structure of the modified Coulomb potential in a superstrong magnetic field

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The modification of the Coulomb potential due to the enhancement of loop corrections in a superstrong magnetic field is studied numerically. We calculate the modified potential with high precision…

### Magnetic Pole as Produced by a Point-like Electric Charge Embedded in Constant-Field Background

- PhysicsProceedings of the Steklov Institute of Mathematics
- 2020

We consider a linear magnetic response to a point electric charge embedded in the background of parallel constant electric and magnetic fields in the framework of nonlinear electrodynamics. We find…

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

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- 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…

### Saturation of Energy Levels of the Hydrogen Atom in Strong Magnetic Field

- PhysicsUniverse
- 2020

We demonstrate that the finiteness of the limiting values of the lower energy levels of a hydrogen atom under an unrestricted growth of the magnetic field, into which this atom is embedded, is…

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