The kinetic description of vacuum particle creation in the oscillator representation

International Journal of Modern Physics A

Volumn 20, Issue 24, 2005, Pages 5689-5704

  Pervushin, V N ^a   Skokov, V V ^a   Reichel, A V ^b   Smolyansky, S A ^b   Prozorkevich, A V ^b  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

^b SARATOV STATE UNIVERSITY   (Russian Federation)

Author keywords

Kinetic equation; Oscillator representation; Strong fields; Vacuum particle creation

Indexed keywords

EID: 26044476623     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X05028909     Document Type: Article

References (48)

1. E. G. Gurvich, Phys. Lett. B87, 386 (1979);
2. K. Kajantie and T. Matsui, Phys. Lett. B164, 373 (1985);
3. G. Gatoff, A. K. Kerman and T. Matsui, Phys. Rev. D36, 114 (1987);
4. A. Bialas and W. Chyz, Phys. Rev. D31, 198 (1985);
5. A. Bialas and W. Chyz, Phys. Rev. 30, 2371 (1984);
6. Z. Phys. C28, 225 (1985);
7. Nucl. Phys. B267, 242 (1985).
8. J. Rau, Phys. Rev. D50, 6911 (1994);
9. Y. Kluger, J. M. Eisenberg, B. Svetitsky, F. Cooper and E. Mottola, Phys. Rev. D45, 4659 (1992).
10. S. A. Smolyansky, G. Röpke, S. M. Schmidt, D. Blaschke, V. D. Toneev and A. V. Prozorkevich, hep-ph/9712377; GSI-preprint-97-92, Regensburg (1997); S. M. Schmidt D. Blaschke, G. Röpke, S. A. Smolyansky, A. V. Prozorkevich and V. D. Toneev, Int. J. Mod. Phys. E7, 709 (1998).
11. Y. Kluger, E. Mottola and J. M. Eisenberg, Phys. Rev. D58, 125015 (1998).
12. S. M. Schmidt, D. Blaschke, G. Röpke, A. V. Prozorkevich, S. A. Smolyansky and V. D. Toneev, Phys. Rev. D59, 094005 (1999);
13. J. C. Bloch, V. A. Mizerny, A. V. Prozorkevich, C. D. Roberts, S. M. Schmidt, S. A. Smolyansky and D. V. Vinnik, Phys. Rev. D60, 1160011 (1999);
14. J. C. Bloch, C. D. Roberts and S. M. Schmidt, Phys. Rev. D61, 117502 (2000);
15. D. V. Vinnik, A. V. Prozorkevich, S. A. Smolyansky, V. D. Toneev, M. B. Hecht, C. D. Roberts and S. M. Schmidt, Eur. Phys. J. C22, 341 (2001).
16. D. V. Vinnik, R. Alkofer, S. M. Schmidt, S. A. Smolyansky, V. V. Skokov and A. V. Prozorkevich, Few-Body Systems 32, 23 (2002).
17. J. Andruszkow et al., Phys. Rev. Lett. 85, 3825 (2000);
18. A. Ringwald, Phys. Lett. B510, 107 (2001); hep-ph/0304139;
19. R. Alkofer, M. B. Hecht, C. D. Roberts, S. M. Schmidt and D. V. Vinnik, Phys. Rev. Lett. 87, 193902 (2001);
20. C. D. Roberts, S. M. Schmidt and D. V. Vinnik, Phys. Rev. Lett. 89, 153901 (2002).
21. C. Bula et al., Phys. Rev. Lett. 76, 3116 (1996);
22. D. L. Burke et al., Phys. Rev. Lett. ibid. 79, 1626 (1997);
23. N. B. Narozhnyi and M. S. Fofanov, Zh. Eksp. Teor. Fiz. 117, 476 (2000).
24. A. A. Grib, S. G. Mamaev and V. M. Mostepanenko, Vacuum Quantum Effects in Strong External Fields (Friedmann Laboratory Publishing, St. Peterburg, 1994).
25. I. Bialynicki-Birula, P. Gornicki and J. Rafelski, Phys. Rev. D44, 1825 (1991).
26. A. Höll, V. G. Morozov and G. Röpke, quant-ph/0106004; Theor. Math. Phys. 131, 812 (2002);
27. Theor. Math. Phys. 132, 1026 (2002); quant-ph/0208083.
28. A. V. Prozorkevich, S. A. Smolyansky and S. V. Ilyin, in Progress in Nonequilibrium Green's Functions II, eds. M. Bonitz and D. Semkat (World Scientific, Singapore, 2003), p. 401, hep-ph/0301169.
29. G. 't-Hooft, Nucl. Phys. B190, 455 (1981);
30. D. A. Komarov and M. N. Chernodub, JETPh Lett. 68, 109 (1998).
31. G. V. Efimov, Int. J. Mod. Phys. A4, 4977 (1989).
32. M. Dineykhan, G. V. Efimov, G. Garbold and S. N. Nedelko, Lect. Notes Phys. 26, 1 (1995).
33. V. N. Pervushin and V. I. Smirichinski, J. Phys. A32, 6191 (1999).
34. E. S. Fradkin, D. M. Gitman and S. M. Shvartsman, Quantum Electrodynamics with Unstable Vacuum (Springer-Verlag, Berlin, 1991).
35. S. P. Gavrilov and D. M. Gitman, Phys. Rev. D53, 7162 (1996).
36. S. A. Smolyansky, A. V. Prozorkevich, G. Maino and S. G. Mashnik, Ann. Phys. 277, 193 (1999).
37. L. D. Faddeev and A. A. Slavnov, Gauge Fields: Introduction to Quantum Theory (Benjamin-Gummings, New York, 1984).
38. A. I. Nikishov, Proc. of the P. N. Lebedev Physical Institute, Vol. 111 (Nauka, Moscow, 1979), p. 152.
39. V. S. Popov and M. S. Marinov, Phys. Atom. Nuclei 16, 809 (1972).
40. G. Gatoff, A. K. Kerman and T. Matsui, Phys. Rev. D36, 114 (1987);
41. M. Asakawa and T. Matsui, Phys. Rev. D43, 2871 (1991).
42. Ya. B. Zel'dovich and A. A. Starobinskii, Zh. Eksp. Teor. Fiz. 61, 2161 (1971)
43. [Sov. Phys. JETP 34, 1159 (1971)].
44. A. V. Tarakanov, A. V. Reichel, S. A. Smolyansky, D. V. Vinnik and S. M. Schmidt, in Progress in Nonequilibrium Green's Functions II, eds. M. Bonitz and D. Semkat (World Scientific, Singapore, 2003), p. 393.
45. L. D. Landau and E. M. Lifschitz, Quantum Mechanics (Non-Relativistic Theory), 3rd edn. (Pergamon Press, Oxford, 1977).
46. M. A. Lampert and B. Svetitsky, Phys. Rev. D61, 043011 (2000).
47. D. V. Vinnik, V. A. Mizerny, A. V. Prozorkevich, S. A. Smolyansky and D. V. Toneev, preprint JINR P2-2000-85, Dubna (2000).
48. Y. Kluger, E. Mottola and J. M. Eisenberg, Phys. Rev. D58, 125015 (1998).