Cite this article as:
Dmitriev V. V., Makhankov A. V., Panferov A. D., Smolyansky S. A., Yahibbaev R. M. Low-density Approximation in the Theory of Creation the Electron-positron Plasma from Vacuum in Strong Laser Fields. Izvestiya of Saratov University. New series. Series Physics, 2016, vol. 16, iss. 1, pp. 5-9. DOI: https://doi.org/10.18500/1817-3020-2016-16-1-5-9
Low-density Approximation in the Theory of Creation the Electron-positron Plasma from Vacuum in Strong Laser Fields
Kinetic description of the vacuum creation of the electron-positron plasma under action of the strong electromagnetic fields is considered in two simplest approximations. The results are compared with the numerical solution of the relevant kinetic equation. It allows to select the regions of effectiveness of the introduced methods and to analyse some features of the obtained analytical solutions.
1. Gregori G., Blaschke D.B., Rajeev P. P., Chen H., Clarke R. J., Huffman T., Murphy C. D., Prozorkevich A. V., Roberts C. D., Ropke G., Schmidt S. M., Smolyansky S. A., Wilks S., Bingham M. A proposal for testing subcritical vacuum pair production with high power lasers // High Energy Dens.Phys. 2010. Vol. 6. P. 166.
2. Brezin E., Itzykson C. Pair production in vacuum by an alternating fi eld // Phys. Rev. D. 1970. Vol. 2. P. 1191.
3. Narozhny N. B., Bulanov S. S., Mur V. D., Popov V. S. On e+e− pair production by colliding electromagnetic pulses // JETP Lett. 2004. Vol. 80. P. 382.
4. Mocken G. R., Ruf M., Muller C., Keitel C. H. Nonperturbative multiphoton electron-positron pair creation in laser fi elds // Phys. Rev. A. 2010. Vol. 81. P. 022122.
5. Khalfin L. The quantum theory of wave packet scattering, the causality principle, and superlight tunnelling // Phys. Usp. 1996. Vol. 39. P. 639.
6. Schmidt S.M., Blaschke D., Ropke G., Smolyansky S. A., Prozorkevich A. V. Toneev V. D. A quantum kinetic equation for particle production in the schwinger mechanism // Intern. J. of Mod. Phys. E. 1998. Vol. 7, № 6. P. 709–722.
7. Blaschke D. V., Prozorkevich A. V., Ropke G., Roberts C. D., Schmidt S. M., Shkirmanov D. S., Smolyansky S. A. Dynamical schwinger effect and highintensity lasers. Realising nonperturbative QE // The European Physical J. D. 2009. Vol. 55. P. 341.
8. Schmidt S. M., Blaschke D., Ropke G., Smolyansky S. A., Prozorkevich A. V. Toneev V. D. Non-markovian effcts in strong-fi eld pair creation // Phys. Rev. D. 1999. Vol. 59, № 9. P. 094005.
9. Smolyansky S.A., Bonitz M., Prozorkevich A. V. Laser driven electron-positron pair creation – kinetic theory versus analytical approximations // Cont. to Plasma Phys. 2013. Vol. 53. P. 788.
10. Hebenstreit F., Alkofer R., Dunne G. V., Gies H. Momentum signatures for schwinger pair production in short laser pulses with a subcycle structure // Phys. Rev. Lett. 2009. Vol. 102, № 15. P. 150404.
11. Smolyansky S. A., Dmitriev V. V., Panferov A. D., Prozorkevich A. V., Blaschke D., Juchnowski L. WKB-type approximations in the theory of vacuum particle creation in strong fi elds // Proceedings of the XXII Baldin ISHEPP. 2014. P. 043.
12. Гриб А. А., Мамаев С. Г., Мостепаненко В. М. Вакуумные квантовые эффекты в сильных полях. М. : Энергоатомиздат, 1988. 288 с.
