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

Year: 2021

Authors: Pegoraro F., Bulanov S.V.

Autors Affiliation: Department of Physics, University of Pisa, 56127 Pisa, Italy
National Research Council, National Institute of Optics, 56124 Pisa, Italy
Institute of Physics of the ASCR, ELI–Beamlines project, 18221 Prague, Czech Republic
National Institutes for Quantum and Radiological Science and Technology (QST),Kansai Photon Science Institute, Kizugawa, Kyoto 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)].


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: 3
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