Coulomb field in a constant electromagnetic background
arXiv:1604.01266 · doi:10.1103/PhysRevD.93.125031
Abstract
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) effective Lagrangian. The linear electric response to an imposed static finite-sized charge is found in the vacuum filled by an arbitrary combination of constant and homogeneous electric and magnetic fields. The modified Coulomb field and corrections to the total charge and to the charge density are given in terms of derivatives of the effective Lagrangian with respect to the field invariants. These are specialized for the EH Lagrangian.
Updated version with an analysis within the Euler-Heisenberg effective lagrangian. Refs. added. Version accepted in Phys. Rev. D
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- Criticality and dominance of axion physics in highly magnetized vacuum
- Axion Electrodynamics in Strong Magnetic Backgrounds
- Saturation of Energy Levels of the Hydrogen Atom in Strong Magnetic Field
- Singular electromagnetic fields in nonlinear electrodynamics with a constant background field