Nonlinear waves in a dispersive vacuum described with a high order derivative electromagnetic Lagrangian

Year: 2021

Authors: Pegoraro F., Bulanov S.V.

Autors Affiliation: Univ Pisa, Enrico Fermi Dept Phys, I-56127 Pisa, Italy; Natl Inst Opt, Natl Res Council, Via G Moruzzi 1, I-56124 Pisa, Italy; ELI Beamlines Project, Inst Phys ASCR, Na Slovance 2, Prague 18221, Czech Republic; Kansai Photon Sci Inst, Natl Inst Quantum & Radiol Sci & Technol QST, 8-1-7 Umemidai, Kyoto 6190215, Japan.

Abstract: In this article we use an electromagnetic Lagrangian constructed so as to include dispersive effects in the description of anelectromagnetic wave propagating in the quantum electrodynamic vacuum. This Lagrangian is Lorentz invariant, includes contributions up to six powers in the electromagnetic fields, and involves both fields and their first derivatives. Conceptual limitations inherent to the use of this higher derivative Lagrangian approach are discussed. We consider the one-dimensional spatial limit and obtain an exact solution of the nonlinear wave equation recovering the Korteveg-de Vries type periodic waves and solitons given in S. V. Bulanov et al. [Phys. Rev. D 101, 016016 (2020)].

Journal/Review: PHYSICAL REVIEW D

Volume: 103 (9)      Pages from: 096012-1  to: 096012-10

More Information: The work is supported by the project High Field Initiative (CZ.02.1.01/0.0/0.0/15_003/0000449) from the European Regional Development Fund.
KeyWords: quantum electrodynamics; photon-photon; scattering; expansion; petawatt; light; field
DOI: 10.1103/PhysRevD.103.096012

Citations: 4
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