Skip to main content
Log in

Positronium collapse and ultimate magnetic field in QED

  • Elementary Particles and Fields
  • Theory
  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

A hypercritical value for the magnetic field is determined which provides the full compensation of the positronium rest mass by the binding energy in the maximum-symmetry state and disappearance of the energy gap separating the electron-positron system from the vacuum. The compensation becomes possible owing to the falling-to-the-center phenomenon. The structure of the vacuum is described in terms of strongly localized states of tightly mutually bound (or confined) pairs. Their delocalization for a still higher magnetic field, capable of screening its further growth, is discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. N. Manchester, G. B. Hobbs, A. Teoh, and M. Hobbs, Astron. J. 129, 1993 (2005).

    Article  ADS  Google Scholar 

  2. C. Tompson and R. C. Duncan, Mon. Not. R. Astron. Soc. 275, 255 (1995); C. Kouveliotou et al., Nature (London) 393, 235 (1998); J. S. Heyl and S. R. Kulkarni, Astrophys. J. 506, L61 (1998).

    ADS  Google Scholar 

  3. V. V. Usov, Nature (London) 357, 472 (1992); J. I. Katz, Astrophys. J. 498, 633 (1997); M. A. Ruderman, L. Tao, and W. Kluzniak, Astrophys. J. 542, 243 (2000); M. Lyutikov, V. I. Pariev, and R. D. Blandford, Astrophys. J. 597, 998 (2003); T. A. Thompson, P. Chang, and E. Quataert, Astrophys. J. 611, 380 (2004).

    Article  ADS  Google Scholar 

  4. E. Witten, Nucl. Phys. B 249, 557 (1985); E. M. Chudnovsky, G. B. Field, and D. N. Spergel, Phys. Rev. D 34, 944 (1986).

    Article  ADS  Google Scholar 

  5. S. Kawati and A. Kokado, Phys. Rev. D 39, 3612 (1989); D. Grasso and H. R. Rubinstein, Phys. Rep. 348, 163 (2001).

    Article  ADS  Google Scholar 

  6. S. G. Matinyan and G. K. Savvidy, Nucl. Phys. B 134, 539 (1978); N. K. Nielsen and P. Olesen, Nucl. Phys. B 144, 376 (1978); M. Bander and H. R. Rubinstein, Phys. Lett. B 280, 121 (1992); 289, 385 (1992); R. C. Duncan, astro-ph/0002442; D. Kabat, K. Lee, and E. Weinberg, Phys. Rev. D 66, 014004 (2002), and references therein.

    Article  ADS  Google Scholar 

  7. V. I. Ritus, Zh. Éksp. Teor. Fiz. 69, 1517 (1975); 73, 807 (1977) [Sov. Phys. JETP 42, 774 (1975); 46, 423 (1977)]; A. E. Shabad, JETP 98, 186 (2004).

    Google Scholar 

  8. R. Loudon, Am. J. Phys. 27, 649 (1959); Yu. M. Loskutov and V. V. Skobelev, Phys. Lett. A 56, 151 (1976); V. N. Oraevskii, A. I. Rez, and V. B. Semikoz, Zh. Eksp. Teor. Fiz. 72, 821 (1977) [Sov. Phys. JETP 45, 428 (1977)]; L. B. Leinson and V. N. Oraevskii, Sov. J. Nucl. Phys. 42, 254 (1985).

    Article  ADS  Google Scholar 

  9. A. E. Shabad and V. V. Usov, Astrophys. Space Sci. 117, 309 (1985); 128, 377 (1986).

    Article  ADS  Google Scholar 

  10. V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Phys. Rev. D 52, 4747 (1995); Nucl. Phys. B 462, 249 (1996); C. N. Leung, Y. J. Ng, and A. W. Ackley, Phys. Rev. D 54, 4181 (1996).

    Article  ADS  Google Scholar 

  11. A. E. Shabad, hep-th/0403177; J. Phys. A 38, 7419 (2005).

    Article  ADS  Google Scholar 

  12. A. E. Shabad and V. V. Usov, hep-th/0512236; Phys. Rev. D 73, 125021 (2006).

    Article  ADS  Google Scholar 

  13. V. I. Ritus, Sov. Phys. JETP 48, 778 (1978).

    Google Scholar 

  14. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon, Oxford, 1991).

    Google Scholar 

  15. J. S. Goldstein, Phys. Rev. 91, 1516 (1953); P. I. Fomin, V. P. Gusynin, V. A. Miransky, and Yu. A. Sitenko, Riv. Nuovo Cimento 6 (5) (1983); N. Setô, Prog. Theor. Phys., Suppl. 95, 25 (1988).

    Article  MATH  ADS  Google Scholar 

  16. V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Phys. Rev. Lett. 83, 1291 (1999); Nucl. Phys. B 563, 361 (1999); C. N. Leung and S.-Y. Wang, hep-ph/0510066.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The text was submitted by the authors in English.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shabad, A.E., Usov, V.V. Positronium collapse and ultimate magnetic field in QED. Phys. Atom. Nuclei 70, 1253–1257 (2007). https://doi.org/10.1134/S1063778807070174

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063778807070174

PACS numbers

Navigation