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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2003 Volume 135, Number 2, Pages 248–264 (Mi tmf184)

This article is cited in 2 papers

Nonlinear Effects Induced by Vacuum Polarization by a Strong Electromagnetic Field in a Weak Static Electromagnetic Field

V. R. Khalilov

M. V. Lomonosov Moscow State University

Abstract: In the one-loop approximation of quantum electrodynamics, we study the Faraday rotation effect in the propagation of a weak linearly polarized wave through the field of a strong plane electromagnetic wave and also processes induced by a strong wave: the emission of a photon whose energy is an integer multiple of the “strong-wave quantum” and photon absorption with the emission of several photons identical (coherent) to the “strong-wave quanta”. The induced processes should occur in a vacuum in a superposition of external fields, namely, the field of a strong plane electromagnetic wave and a static spatially inhomogeneous electromagnetic field. We show that the induced photon emission in the field of a strong electromagnetic wave with circular polarization and in a static inhomogeneous field is equivalent to the merging of two “strong-wave quanta” with the production of one photon and that the induced photon absorption in the same combination of fields is equivalent to the decay (splitting) of a photon into two photons completely identical to the “strong-wave quanta”. All these effects are induced by the phenomenon of the vacuum polarization by a strong external time-dependent electromagnetic field. The probabilities of the induced processes are nontrivial nonlinear functions of the squared strength of the time-dependent field also depending on other parameters.

Keywords: nonlinear induced effects, photon polarization operator, photon splitting, photon merging.

Received: 01.07.2002

DOI: 10.4213/tmf184


 English version:
Theoretical and Mathematical Physics, 2003, 135:2, 659–672

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© Steklov Math. Inst. of RAS, 2026