Electromagnetic Solitons in Quantum Vacuum

Abstract

In the limit of extremely intense electromagnetic fields the Maxwell equations are modified due to the photon-photon scattering that makes the vacuum refraction index depend on the field amplitude. In presence of electromagnetic waves with small but finite wavenumbers the vacuum behaves as a dispersive medium. We show that the interplay between the vacuum polarization and the nonlinear effects in the interaction of counter-propagating electromagnetic waves can result in the formation of Kadomtsev-Petviashvily solitons and, in one-dimension configuration, of Korteveg-de-Vries type solitons that can propagate over a large distance without changing their shape.

16 pages, 5 figures

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Cited by in corpus (9)

• Advances in QED with intense background fields
• The DeLLight experiment to observe an optically-induced change of the vacuum index
• Signatures of vacuum birefringence in low-power flying focus pulses
• Detectable Optical Signatures of QED Vacuum Nonlinearities using High-Intensity Laser Fields
• On Measuring Stimulated Photon-photon Scattering using Multiple Ultraintense Lasers
• Nonlinear waves in a dispersive vacuum described with a high order derivative electromagnetic Lagrangian
• On the absence of shock waves and vacuum birefringence in Born--Infeld electrodynamics
• Solitons in a class of interacting scalar field theories without $SO(2)$ invariance
• Generation of High Order Harmonics in Heisenberg-Euler Electrodynamics