Positronium collapse and the maximum magnetic field in pure QED

Physical Review Letters

Volumn 96, Issue 18, 2006, Pages

  Shabad, A E ^a   Usov, V V ^b  

^a LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BINDING ENERGY; ELECTRON ENERGY LEVELS; MAGNETIC FIELDS; POSITRONS; QUANTUM THEORY; VACUUM;

COMPENSATION; ELECTRON-POSITRON SYSTEMS; POSITRONIUM COLLAPSE;

ELECTRODYNAMICS;

EID: 33646390685     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.96.180401     Document Type: Article

References (49)

1. R.N. Manchester, G.B. Hobbs, A. Teoh, and M. Hobbs, Astron. J. 129, 1993 (2005). ANJOAA 0004-6256 10.1086/428488
2. C. Thompson and R.C. Duncan, Mon. Not. R. Astron. Soc. 275, 255 (1995); MNRAA4 0035-8711
3. C. Kouveliotou, Nature (London) 393, 235 (1998); NATUAS 0028-0836 10.1038/30410
4. J.S. Heyl and S.R. Kulkarni, Astrophys. J. 506, L61 (1998). ASJOAB 0004-637X 10.1086/311628
5. V.V. Usov, Nature (London) 357, 472 (1992); NATUAS 0028-0836 10.1038/357472a0
6. J.I. Katz, Astrophys. J. 490, 633 (1997); ASJOAB 0004-637X 10.1086/304896
7. M.A. Ruderman, L. Tao, and W. Kluzniak, Astrophys. J. 542, 243 (2000). ASJOAB 0004-637X 10.1086/309537
8. E. Witten, Nucl. Phys. NUPBBO 0550-3213 B249, 557 (1985); 10.1016/0550-3213(85)90022-7
9. E.M. Chudnovsky, G.B. Field, D.N. Spergel, and A. Vilenkin, Phys. Rev. D 34, 944 (1986). PRVDAQ 0556-2821 10.1103/PhysRevD.34.944
10. S. Kawati and A. Kokado, Phys. Rev. D 39, 3612 (1989); PRVDAQ 0556-2821 10.1103/PhysRevD.39.3612
11. D. Grasso and H.R. Rubinstein, Phys. Rep. 348, 163 (2001). PRPLCM 0370-1573 10.1016/S0370-1573(00)00110-1
12. S.G. Matinyan and G.K. Savvidy, Nucl. Phys. NUPBBO 0550-3213 B134, 539 (1978); 10.1016/0550-3213(78)90463-7
13. N.K. Nielsen and P. Olesen, Nucl. Phys. NUPBBO 0550-3213 B144, 376 (1978); 10.1016/0550-3213(78)90377-2
14. M. Bander and H.R. Rubinstein, Phys. Lett. B 280, 121 (1992); PYLBAJ 0370-2693 10.1016/0370-2693(92)90784-2
15. M. Bander H.R. Rubinstein Phys. Lett. B 289, 385 (1992); PYLBAJ 0370-2693 10.1016/0370-2693(92)91236-3
16. R.C. Duncan, astro-ph/0002442;
17. D. Kabat, K. Lee, and E. Weinberg, Phys. Rev. D 66, 014004 (2002), and references therein. PRVDAQ 0556-2821 10.1103/PhysRevD.66.014004
18. V.I. Ritus, Zh. Eksp. Teor. Fiz. 69, 1517 (1975); ZETFA7 0044-4510
19. V.I. Ritus Zh. Eksp. Teor. Fiz. 73, 807 (1977); SPHJAR 0038-5646
20. A.E. Shabad, JETP 98, 186 (2004). JTPHES 1063-7761 10.1134/1.1675886
21. L.D. Landau and E.M. Lifshits, Quantum Mechanics (Pergamon, New York, 1991).
22. R. Loudon, Am. J. Phys. 27, 649 (1959); AJPIAS 0002-9505 10.1119/1.1934950
23. Yu.M. Loskutov and V.V. Skobelev, Phys. Lett. 56A, 151 (1976); PYLAAG 0375-9601 10.1016/0375-9601(76)90626-5
24. V.N. Oraevskii, A.I. Rez, and V.B. Semikoz, Zh. Eksp. Teor. Fiz. 72, 821 (1977); ZETFA7 0044-4510
25. L.B. Leinson and V.N. Oraevskii, Sov. J. Nucl. Phys. 42, 254 (1985). SJNCAS 0038-5506
26. A.E. Shabad and V.V. Usov, Astrophys. Space Sci. APSSBE 0004-640X 117, 309 (1985); 10.1007/BF00650157
27. A.E. Shabad V.V. Usov Astrophys. Space Sci. APSSBE 0004-640X 128, 377 (1986). 10.1007/BF00644586
28. V.P. Gusynin, V.A. Miransky, and I.A. Shovkovy, Phys. Rev. D 52, 4747 (1995); PRVDAQ 0556-2821 10.1103/PhysRevD.52.4747
29. V.P. Gusynin V.A. Miransky I.A. Shovkovy Nucl. Phys. NUPBBO 0550-3213 B462, 249 (1996); 10.1016/0550-3213(96)00021-1
30. C.N. Leung, Y.J. Ng, and A.W. Ackley, Phys. Rev. D 54, 4181 (1996). PRVDAQ 0556-2821 10.1103/PhysRevD.54.4181
31. A.E. Shabad, hep-th/0403177;
32. A.E. Shabad J. Phys. A JPHAC5 0305-4470 38, 7419 (2005). 10.1088/0305-4470/38/33/014
33. A.E. Shabad and V.V. Usov, hep-th/0512236.
34. V.I. Ritus, Sov. Phys. JETP 48, 778 (1978). SPHJAR 0038-5646
35. J.S. Goldstein, Phys. Rev. 91, 1516 (1953); PHRVAO 0031-899X 10.1103/PhysRev.91.1516
36. P.I. Fomin, V.P. Gusynin, V.A. Miransky, and Yu.A. Sitenko, Rivista Nuovo Cimento 6, 5 (1983);
37. N. Setô, Prog. Theor. Phys. Suppl. PTPSEP 0375-9687 95, 25 (1988).
38. V.P. Gusynin, V.A. Miransky, and I.A. Shovkovy, Phys. Rev. Lett. 83, 1291 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.83.1291
39. V.P. Gusynin V.A. Miransky I.A. Shovkovy Nucl. Phys. NUPBBO 0550-3213 B563, 361 (1999); 10.1016/S0550-3213(99)00573-8
40. C.N. Leung and S.-Y. Wang, hep-ph/0510066, the authors revised that relation in favor of a different approximation. Supposedly, the revised relation may be of use in the problem of maximum magnetic field dealt with here.
41. A.E. Shabad and V.V. Usov, hep-th/0603070.
42. I.A. Batalin and A.E. Shabad, Sov. Phys. JETP SPHJAR 0038-5646 33, 483 (1971);
43. A.E. Shabad, Ann. Phys. (N.Y.) APNYA6 0003-4916 90, 166 (1975). 10.1016/0003-4916(75)90144-X
44. A.E. Shabad, Polarization of the Vacuum and a Quantum Relativistic Gas in an External Field (Nova Science Publishers, New York, 1991).
45. A.E. Shabad, Kratkie Soobshchenia po Fizike 3, 1068-3356 13 (1976).
46. B. Jancovici, Phys. Rev. 187, 2275 (1969). PHRVAO 0031-899X 10.1103/PhysRev.187.2275
47. A.V. Kuznetsov, N.V. Mikheev, and M.V. Osipov, Mod. Phys. Lett. A 17, 231 (2002). MPLAEQ 0217-7323 10.1142/S0217732302006321
48. Ya.B. Zel'dovich and V.S. Popov, Sov. Phys. Usp. SOPUAP 0038-5670 14, 673 (1972); 10.1070/PU1972v014n06ABEH004735
49. W. Greiner and J. Reinhardt, Quantum Electrodynamics (Springer-Verlag, Berlin, 1992).