Nonlinear magnetic response of the magnetized vacuum to applied electric field
arXiv:1209.6287 · doi:10.1103/PhysRevD.86.125028
Abstract
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.
11 pages without figures or tables. Numerical coefficients and some signs in Version I corrected, three new references and two equations added
References in corpus (16)
- Physics of Strongly Magnetized Neutron Stars
- Electrically Charged Strange Quark Stars
- Effective Lagrangian in nonlinear electrodynamics and its properties of causality and unitarity
- Noncommutative Point Sources
- Electric field of a pointlike charge in a strong magnetic field and ground state of a hydrogenlike atom
- Modified Coulomb Law in a Strongly Magnetized Vacuum
- Modification of Coulomb law and energy levels of the hydrogen atom in a superstrong magnetic field
- A new look at the modified Coulomb potential in a strong magnetic field
- Properties of Bare Strange Stars Associated with Surface Electric Fields
- Critical nucleus charge in a superstrong magnetic field: effect of screening
- Real and virtual photons in an external constant electromagnetic field of most general form
- QED with external field: Hamiltonian treatment for anisotropic medium formed by the Lorentz-non-invariant vacuum
- Noncommutative magnetic moment of charged particles
- Classical Noncommutative Electrodynamics with External Source
- Spin Down of Rotating Compact Magnetized Strange Stars in General Relativity
- Noncommutative magnetic moment, fundamental length and lepton size
Cited by in corpus (17)
- Interaction of photons traversing a slowly varying electromagnetic background
- Magnetic response to applied electrostatic field in external magnetic field
- Coulomb field in a constant electromagnetic background
- Nonlinear corrections in basic problems of electro- and magneto-statics in the vacuum
- Photon propagation in noncommutative QED with constant external field
- Electric charge is a magnetic dipole when placed in a background magnetic field
- When electric charge becomes also magnetic
- Collective behavior of light in vacuum
- Magnetic response from constant backgrounds to Coulomb sources
- Electric fields at finite temperature
- Electron EM-mass melting in strong fields
- Interaction between two point-like charges in nonlinear electrostatics
- Spatial structure of the modified Coulomb potential in a superstrong magnetic field
- Discreteness of Point Charge in Nonlinear Electrodynamics
- Saturation of Energy Levels of the Hydrogen Atom in Strong Magnetic Field
- Nonlinearity in Electro- and Magneto-statics with and without External Field
- Singular electromagnetic fields in nonlinear electrodynamics with a constant background field