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. 
View via Publisher
arxiv.org
19 Citations
Background Citations
5
Methods Citations
1

19 Citations

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

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

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

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

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

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

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

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

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…

Electric fields at finite temperature

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

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…

References

SHOWING 1-10 OF 27 REFERENCES

String-Like Electrostatic Interaction from QED with Infinite Magnetic Field

In the limit of infinite external magnetic field B the static field of an electric charge is squeezed into a string parallel to B. Near the charge the potential grows like |x_3|(ln |x_3| + const)…

Modified coulomb law in a strongly magnetized vacuum.

The electric potential of a charge placed in a strong magnetic field B>>B(0) approximately 4.4x10(13) G, as modified by the vacuum polarization, is studied, finding Correction to the nonrelativistic ground-state energy of a hydrogenlike atom is found.

Electric field of a pointlike charge in a strong magnetic field and ground state of a hydrogenlike atom

In an external constant magnetic field, so strong that the electron Larmour length is much shorter than its Compton length, we consider the modification of the Coulomb potential of a point charge…

Real and virtual photons in an external constant electromagnetic field of most general form

The photon behavior in an arbitrary superposition of constant magnetic and electric fields is considered on most general grounds based on the first principles like Lorentz, gauge, charge, and parity…

QED with an external field: Hamiltonian treatment of Lorentz-non-invariant background as an anisotropic medium

Nonlinear electrodynamics, QED included, is considered against the Lorentz-noninvariant external field background, treated as an anisotropic medium. Hamiltonian formalism is applied to…

Photon splitting and photon dispersion in a strong magnetic field

Noncommutative magnetic moment of charged particles

It has been argued that in noncommutative field theories, the sizes of physical objects cannot be taken smaller than an ''elementary length'' related to noncommutativity parameters. By gauge…

Effective Lagrangian in nonlinear electrodynamics and its properties of causality and unitarity

In nonlinear electrodynamics, by implementing the causality principle as the requirement that the group velocity of elementary excitations over a background field should not exceed the speed of light…

Phonon splitting in the magnetised vacuum

An explicit result for the quadratic vacuum polarisation tensor in a static uniform magnetic field is derived using the Gehenian representation of the electron propagator. The formalism of…

Critical nucleus charge in a superstrong magnetic field: effect of screening

A superstrong magnetic field stimulates the spontaneous production of positrons by naked nuclei by diminishing the value of the critical charge ${Z}_{\mathrm{cr}}$. The recently discovered phenomenon…