Magnetic response to applied electrostatic field in external magnetic field
arXiv:1311.4081 · doi:10.1140/epjc/s10052-014-2838-y
Abstract
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 homogeneous) magnetic field in the vacuum. The magnetic moment is quadratic in the charge, depends on its size and is parallel to the external field, provided the charge distribution is at least cylindrically symmetric. This magneto-electric effect is a nonlinear response of the magnetized vacuum to an applied electrostatic field. Referring to a simple example of a spherically-symmetric applied field, the nonlinearly induced current and its magnetic field are found explicitly throughout the space, the pattern of lines of force is depicted, both inside and outside the charge, which resembles that of a standard solenoid of classical magnetostatics.
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Cited by in corpus (12)
- Interaction of photons traversing a slowly varying electromagnetic background
- Coulomb field in a constant electromagnetic background
- 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
- Electric fields at finite temperature
- Magnetic response from constant backgrounds to Coulomb sources
- Interaction between two point-like charges in nonlinear electrostatics
- Discreteness of Point Charge in Nonlinear Electrodynamics
- Nonlinearity in Electro- and Magneto-statics with and without External Field
- Singular electromagnetic fields in nonlinear electrodynamics with a constant background field