Geodesic
Nonlinear Effects Induced by Vacuum Polarization by a Strong Electromagnetic Field in a Weak Static Electromagnetic Field
Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 2, pp. 248-264

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_2003_135_2_a5,
     author = {V. R. Khalilov},
     title = {Nonlinear {Effects} {Induced} by {Vacuum} {Polarization} by a {Strong} {Electromagnetic} {Field} in a {Weak} {Static} {Electromagnetic} {Field}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {248--264},
     publisher = {mathdoc},
     volume = {135},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_135_2_a5/}
}
TY  - JOUR
AU  - V. R. Khalilov
TI  - Nonlinear Effects Induced by Vacuum Polarization by a Strong Electromagnetic Field in a Weak Static Electromagnetic Field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2003
SP  - 248
EP  - 264
VL  - 135
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2003_135_2_a5/
LA  - ru
ID  - TMF_2003_135_2_a5
ER  - 
%0 Journal Article
%A V. R. Khalilov
%T Nonlinear Effects Induced by Vacuum Polarization by a Strong Electromagnetic Field in a Weak Static Electromagnetic Field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2003
%P 248-264
%V 135
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2003_135_2_a5/
%G ru
%F TMF_2003_135_2_a5
V. R. Khalilov. Nonlinear Effects Induced by Vacuum Polarization by a Strong Electromagnetic Field in a Weak Static Electromagnetic Field. Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 2, pp. 248-264. http://geodesic.mathdoc.fr/item/TMF_2003_135_2_a5/