ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Smolyansky S. A., Blashke D. B., Tarakanov A. V., Shmidt S. M. Vacuum particle creation in strong fields: statistical aspects. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 5, pp. 17-29. DOI: 10.18500/0869-6632-2009-17-5-17-29

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
(downloads: 135)
Article type: 
533.9, 539.1

Vacuum particle creation in strong fields: statistical aspects

Smolyansky Stanislav Aleksandrovich, Saratov State University
Blashke David B., University of Rostock
Tarakanov Aleksandr Viktorovich, Saratov State University
Shmidt Sebastjan M., Technical University of Dortmund

In the present review we summarize the known informations about the evolution of a strongly nonequilibrium quasiparticle electron-positron plasma created from the vacuum under the influence of a strong nonstationary electromagnetic field. The methodical basis is given by quantum kinetic equations of the non-Markovian type which are nonperturbative consequences of the basic equations of QED in the collisionless approximation.

  1. Sauter F. Uber das verhalten eines electrons im homogenen elektrischen field nach der relativistische theory Dirac. Z. Phys. 1931;69:742–764. DOI: 10.1007/BF01339461.
  2. Heisenberg W, Euler H. Consequences of Dirac’s theory of positrons. Z. Phys. 1936;98:714–732.
  3. Schwinger J. On gauge invariance and vacuum polarization. Phys. Rev. 1951;82(5):664–679. DOI: 10.1103/PhysRev.82.664.
  4. Bunkin FV, Tugov II. The possibility of electron-positron pair production in vacuum when laser radiation is focussed. Dokl. Akad. Nauk SSSR. 1969;187(3):541–544.
  5. Brezin E, Itzykson C. Pair production in vacuum by an alternating field. Phys. Rev. D. 1970;2(7):1191–1199. DOI: 10.1103/PhysRevD.2.1191.
  6. Popov VS. Pair Production in a Variable and Homogeneous Electric Field as an Oscillator Problem. JETP. 1972;35(4):659–666.
  7. Blaschke DB, Prozorkevich AV, Smolyansky SA, Roberts CD, Schmidt SM. Pair production and optical laser. Phys. Rev. Lett. 2006;96(14):140402. DOI: 10.1103/PhysRevLett.96.140402.
  8. Bulanov SS, Narozhny NB, Mur VD, Popov VS. On e^+e^- pair production by a focused laser pulse in vacuum. Physics Letters A. 2004;330:1–6. DOI: 10.1016/j.physleta.2004.07.013.
  9. Bulanov SS, Fedotov AM, Pegoraro F. Damping of electromagnetic waves due to electpon-positron pair production. Physical Review E. 2004;71(1):016404. DOI: 10.1103/PhysRevE.71.016404.
  10. Bulanov S.S. Pair production by a circular polarized electromagnetic wave in plasma. Physical review. E, Statistical, nonlinear, and soft matter physics. 2004;69(3):036408. DOI: 10.1103/PhysRevE.69.036408.
  11. Avetissian HK, Avetissian AK, Bagdasarian AKh, Sedrakian KhV. Nonlinear e+e- pair production in a plasma by a strong electromagnetic wave. Phys. Rev. 1996;54(9):5509–5514. DOI: 10.1103/physrevd.54.5509.
  12. Avetissian HK, Avetissian AK, Mkrtchian GF, Sedrakian KhV. Electron-positron pair production in the field of superstrong oppositely directed laser beams. Phys. Rev. 2002;66(1):016502. DOI: 10.1103/PhysRevE.66.016502.
  13. Ringwald A. Pair production from vacuum at the focus of an X-ray free electron laser. Phys. Lett. 2001;B510:107–116. DOI: 10.1016/S0370-2693(01)00496-8.
  14. Alkofer R, Hecht MB, Roberts CD, Schmidt SM, Vinnik DV. Pair creation and X-ray free electron laser. Phys. Rev. D. 2001;87(19):193902. DOI: 10.1103/PhysRevLett.87.193902.
  15. Roberts CD, Schmidt SM, Vinnik DV. Quantum effects with an X-ray free electron laser. Phys. Rev. 2002;D89(15):153901. DOI: 10.1103/PhysRevLett.89.153901.
  16. Kuznetsova I, Habs D, Rafelsky J. Pion and muon production in e-, e+, y plasma. Physical Review D. 2008;78(1):014027. DOI: 10.1103/PhysRevD.78.014027.
  17. Schmidt SM, Blaschke DB, Ropke G, Smolyansky SA, Prozorkevich AV. A quan-tum kinetic equation for particle production in the Schwinger mechanism. Int. J. Mod. Phys. 1998;7(6):709–722. DOI: 10.1142/S0218301398000403.
  18. Kluger Y, Mottola E, Eisenberg JM. The quantum Vlasov equation and its Markov limit. Phys. Rev. 1998;58(12):125015. DOI: 10.1103/PhysRevD.58.125015.
  19. Schmidt SM, Blaschke DB, Ropke G, Prozorkevich AV, Smolyansky SA. Toneev VD. Non-Markovian effects in strong field pair creation. Phys. Rev. 1999;59:094005. DOI: 10.1103/PhysRevD.59.094005.
  20. Vinnik DV, Minuscule VA, Prozorkevich AV, Smolyansky SA, Toneev VD. Kinetic description of the vacuum birth of particles in collisions of relativistic nuclei. Dubna: Join Institute for Nuclear Research; 2000. 24 p. (In Russian).
  21. Smolyansky SA, Prozorkevich AV, Tarakanov AV. Study of kinetic equations in the theory of vacuum birth of particles in strong fields. Prikladnaya fizika. 2004;11:124.
  22. Skokov VV, Vinnik DV, Smolyansky SA, Toneev VD. Relaxation processes in relativistic plasma, born from a vacuum with a strong field. Dubna: Join Institute for Nuclear Research; 2002. 25 p. (In Russian).
  23. Smolyansky SA, Reichel AV, Vinnik DV, Schmidt SM. Collision integrals in the kinetics of vacuum creation in strong fields. In: Progress in nonequilibrium Green’s function II. Editors Bonitz M. and Semkat D. Dresden, Germany: World Sc., N.-Jersey–London–Singapour–Hong Kong. 2003. P. 384.
  24. Tarakanov AV, Reichel AV, Smolyansky SA, Vinnik DV, Schmidt SM. Kinetics of vacuum pair creation in strong electromagnetic fields. arXiv: High Energy Physics — Phenomenology. 2003: 393–400. DOI: 10.1142/9789812705129_0035.
  25. Bialynicki-Birula II, Górnicki P, Rafelski J. Phase-space structure of the Dirac vacuum. Phys Rev D Part Fields. 1991;44(6):1825–1835. DOI: 10.1103/physrevd.44.1825.
  26. Grib AA, Mamaev SG, Mostepanenko VM. Vacuum quantum effects in strong fields. Moscow: Energoizdat; 1988. 287 p. (In Russian).
  27. Pervushin VN, Skokov VV, Reichel AV, Smolyansky SA, Prozorkevich AV. The kinetic description of vacuum particle creation in the oscillator representation. Int. J. Mod. Phys. A. 2005;20(24):5689–5704. DOI: 10.1142/S0217751X05028909.
  28. Filatov AV, Prozorkevich AV, Smolyansky SA. Pair creation by electromagnetic wave in a self-created plasma. Proc. of SPIE. 2006;61650:616509. DOI: 10.1117/12.696844.
  29. Filatov AV, Smolyansky SA, Tarakanov AV. Kinetics of parton–antiparton plasma vacuum creation in the time-dependent cromo-electric fields of arbitrary polarization. 2008. Report on the XIX Int. Baldin Sem. on High Energy Phys. Problems «Relati- vistic Nuc. Phys. and Quantum Cromodynamics». Dubna; arXiv:0901.0522.
  30. Blaschke DV, Dmitriev VV, Smolyansky SA, Tarakanov AV. Kinetics of the vacuum birth of electron-positron pairs in strong electromagnetic fields of arbitrary polarization. Report at the school-seminar "Waves-2009," May 25-29, 2009. Moscow: Moscow State University. (In Russian).
  31. Pervushin VN, Skokov VV. Kinetic description of fermion production in the oscillator representation. Acta. Phys. Polonica. 2006;37(9):2587–2600.
  32. Bulanov SS, Fedotov AM, Pegoraro F. Nonlinear evolution of a relativistic strong electromagnetic wave in the self-created electron-positron plasma. JETP Letters. 2004;80(12):734–738.
  33. Bulanov S.S. Pair production by a circulary polarized electromagnetic wave in plasma. Physical review. E. 2004;69(3):036408. DOI: 10.1103/PhysRevE.69.036408.
  34. Filatov AV, Lavkin AG, Smolyansky SA, Bravina LV, Zabrodin EE. Vacuum particle creation in plasma. Teoriticheskaya fizika. 2007;8:101–109.
  35. Baier VN, Katkov VM. Influence of a medium on pair photoproduction and brem-strahlung. Phys. Rev. 2003;62(3):036008. DOI: 10.1103/PhysRevD.62.036008.
  36. Vinnik DV, Mizerny VA, Prozorkevich AV, Smolyansky SA, Toneev VD. Kinetic description of vacuum particle production in collision of ultrarelativistic nuclei. Phys. of Atomic Nuclei. 2001;64:775-786. DOI: 10.1134/1.1368229.
  37. Bloch JC, Mizerny VA, Prozorkevich AV, Roberts CD, Schmidt SM, Smolyansky SA, Vinnik DV. Pair creation: back reactions and damping. Phys. Rev. 1999;60(11):116011. DOI: 10.1103/PhysRevD.60.116011.
  38. Smolyansky SA, Mizerny VA, Vinnik DV, Prozorkevich AV, Toneev VD. The non-equilibrium distribution function of particles and anti-particles created in strong fields. In «Progress in nonequilibrium Green’s function». Editor Bonitz M. Singapour: World Scientific Publ.; 2000. P. 375; arXiv: hep - ph /9911303.
  39. Biro TS, Matinyan SG, Muller B. Chaos and gauge field theory. Singapour: World Scientific; 1994. 288 p.
  40. Pustovalov VV, Silin VP. Nonlinear theory of plasma wave interaction in plasma. Works of FIAN. Moscow: Nauka; 1972. V. 61. 42–281 p. (In Russian).
  41. Holl A, Morozov VG, Ropke G. Kinetic theory of QED plasma in strong electro-magnetic field. Theor. Math. Phys. 2002;131(2):812–831. DOI: 10.4213/tmf339.
  42. Prozorkevich AV, Smolyansky SA, Ilyine SV. Kinetic equation for the quark Wigner function in strong gluon fields. Teoriticheskaya fizika. 2002;3:108–120.
  43. Chott NI, Su Q, Grobe R. Classical-quantum correspondence in electron-positron pair creation. Phys. Rev. 2007;76(1):010101. DOI: 10.1103/PhysRevA.76.010101.
  44. Amirov RKh, Smolyanskii SA, Shekhter LS. On the theory of quantum kinetic processes in strong alternating fields. Theoret. and Math. Phys. 1974;21(2):1116–1124.
  45. Zubarev VN, Morozov VG, Repke G. Statistical mechanics of nonequilibrium processes. V. 1. Moscow: Fizmatlit; 2002. 295 p. (In Russian).
  46. Blaschke D.B., Ilyine S.V., Panferov A.D., Ropke G., Smolyansky S.A. Optical properties of the e+e- plasma generated in the focal spot of a high-intensity laser. Plasma Phys. 2009;49(7-8):602–608. DOI: 10.1002/CTPP.200910061.
  47. Haug H, Koch SW. Quantum theory of the optical and electronic properties of semiconductors. Singapore: Fourth Ed. World Scientific, 2004. 453 p.
  48. Popov VS. Schwinger mechanism of electron-positron paip production by the field of optical and X-ray lasers in vacuum. JETP Lett. 2001;74(3):133–138.
  49. Kuzovlev YuE, Medvedev YuV, Grishin AM. Rapidly fluctuating fields as a source of low-frequency conductivity fluctuations and dimensional effects in quantum kinetics. Letters JETP. 2000;72(11):832–837.
  50. Tsitovich VN. On spatial dispersion in relativistic plasma. JETP. 1961;40(6):1775–1781.
  51. Blaschke DB, Dabrowski MP, Dmitriev VV, Smolyansky SA. Massive vector boson production in an instantaneous electroweak phase transition in the early Universe. Report at the «Chernikovsky Gravitational Seminar». Dubna: LTF; 2008.
  52. Smolyansky SA, Tarakanov AV, Bonitz M. Vacuum particle creation: Analogy with the bloch theory in solid state physics. Plasma Phys. 2009;49(7-8):575–584. DOI: 10.1002/ctpp.200910058.
  53. Filatov AV, Prozorkevich AV, Smolyansky SA, Toneev VD. Inertial mechanism: dynamical mass as a source of partial creation. Physics of Particles and Nuclei. 2008;39:886–911. DOI: 10.1134/S1063779608060026.
  54. Smolyansky SA, Skokov VV, Prozorkevich AV. Kinetic theory of the quantum systems with unstable vacuum. Physics of Particles and Nuclei Letters. 2005;2:50–60.
  55. Smolyansky SA, Prozorkevich AV, Bravina LV, Zabrodin EE. Dynamical Casimir effect in an expanding flux tube. Proc. of the XVIII Baldin International Seminar on High Energy Physics Problems «Relativistic Nuclear Physics and Quantum Chromodynamics». Eds. Sisakian AN, Burov VV, Malakhov AI. Dubna; 2008. Vol. 2. P. 75.
Short text (in English):
(downloads: 84)