No Access

VACUUM SUPERCONDUCTIVITY, CONVENTIONAL SUPERCONDUCTIVITY AND SCHWINGER PAIR PRODUCTION

M. N. CHERNODUB

CNRS, Laboratoire de Mathématiques et Physique Théorique, Université François-Rabelais, Fédération Denis Poisson – CNRS, Parc de Grandmont, Université de Tours, 37200, France

Department of Physics and Astronomy, University of Gent, S9, B-9000 Gent, Belgium

On leave from Institute for Theoretical and Experimental Physics, Moscow, Russia. This work was supported by Grant No. ANR-10-JCJC-0408 HYPERMAG.

Search for more papers by this author

https://doi.org/10.1142/S0217751X12600032Cited by:6 (Source: Crossref)

Abstract

In a background of a very strong magnetic field a quantum vacuum may turn into a new phase characterized by anisotropic electromagnetic superconductivity. The phase transition should take place at a critical magnetic field of the hadronic strength (B_c ≈ 10¹⁶ Tesla or eB_c ≈ 0.6 GeV²). The transition occurs due to an interplay between electromagnetic and strong interactions: virtual quark–antiquark pairs pop up from the vacuum and create — due to the presence of the intense magnetic field — electrically charged and electrically neutral spin-1 condensates with quantum numbers of ρ mesons. The ground state of the new phase is a complicated honeycomblike superposition of superconductor and superfluid vortex lattices surrounded by overlapping charged and neutral condensates. In this talk we discuss similarities and differences between the superconducting state of vacuum and conventional superconductivity, and between the magnetic-field-induced vacuum superconductivity and electric-field-induced Schwinger pair production.

Keywords:

PACS: 12.38.-t, 13.40.-f, 74.90.+n

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

M. N. Chernodub , Phys. Rev. D 82 , 085011 , arXiv:1008.1055 . Crossref, Web of Science, Google Scholar
M. N. Chernodub, Phys. Rev. Lett. 106, 142003 (2011), arXiv:1101.0117. Crossref, Web of Science, Google Scholar
K. Fukushima, D. E. Kharzeev and H. J. Warringa, Phys. Rev. D 78, 074033 (2008). Crossref, Web of Science, Google Scholar
A. Vilenkin, Phys. Rev. D 22, 3080 (1980). Crossref, Web of Science, ADS, Google Scholar
D. Kharzeev, Phys. Lett. B 633, 260 (2006), arXiv:hep-ph/0406125. Crossref, Web of Science, ADS, Google Scholar
V. Skokov, A. Y. Illarionov and V. Toneev, Int. J. Mod. Phys. A 24, 5925 (2009). Link, Web of Science, Google Scholar
D. Grasso and H. R. Rubinstein, Phys. Rept. 348, 163 (2001), arXiv:astro-ph/0009061. Crossref, Web of Science, ADS, Google Scholar
K. G. Klimenko, Z. Phys. C 54, 323 (1992). Crossref, ADS, Google Scholar
V. P. Gusynin, V. A. Miransky and I. A. Shovkovy, Phys. Rev. Lett. 73, 3499 (1994). Crossref, Web of Science, ADS, Google Scholar
V. P. Gusynin, V. A. Miransky and I. A. Shovkovy, Nucl. Phys. B 462, 249 (1996). Crossref, Web of Science, ADS, Google Scholar
R. Gatto and M. Ruggieri, Phys. Rev. D 83, 034016 (2011). Crossref, Web of Science, Google Scholar
A. J. Mizher, M. N. Chernodub and E. S. Fraga, Phys. Rev. D 82, 105016 (2010). Crossref, Web of Science, Google Scholar
M. D'Elia, S. Mukherjee and F. Sanfilippo, Phys. Rev. D 82, 051501 (2010). Crossref, Web of Science, Google Scholar
G. S. Bali et al., [hep-lat] , arXiv:1111.4956 . Google Scholar
J. K. Boomsma and D. Boer, Phys. Rev. D 81, 074005 (2010). Crossref, Web of Science, Google Scholar
F. Preis, A. Rebhan, A. Schmitt , arXiv:1109.6904 . Google Scholar
V. Dexheimer, R. Negreiros, S. Schramm , arXiv:1108.4479 . Google Scholar
M. N. Chernodub, PoS FACESQCD 021 (2010), arXiv:1104.4404. Google Scholar
N. Callebaut, D. Dudal, H. Verschelde , arXiv:1105.2217 . Google Scholar
M. Ammonet al., Phys. Lett. B 94, 94 (2011), arXiv:1106.4551. Google Scholar
V. V. Braguta et al. , arXiv:1104.3767 . Google Scholar
J. S. Schwinger, Phys. Rev. 82, 664 (1951). Crossref, Web of Science, ADS, Google Scholar
T. Heinzl, Int. J. Mod. Phys. A 27, 1260010 (2012), arXiv:1111.5192. Link, Web of Science, ADS, Google Scholar
A. Ilderton, Int. J. Mod. Phys. Conf. Ser. 14, (2012). Google Scholar
G. Zavattini, Int. J. Mod. Phys. A 27, 1260017 (2012). Link, Web of Science, ADS, Google Scholar
Y. Aokiet al., Nature 443, 675 (2006), arXiv:hep-lat/0611014. Crossref, Web of Science, ADS, Google Scholar
I. I. Smolyaninov, Phys. Rev. Lett. 107, 253903 (2011), arXiv:1108.2203. Crossref, Web of Science, ADS, Google Scholar
V. L. Ginzburg and L. D. Landau, Zh. Eksp. Teor. Fiz. 20, 1064 (1950). Google Scholar
D. Djukanovicet al., Phys. Rev. Lett. 95, 012001 (2005), arXiv:hep-ph/0505180. Crossref, Web of Science, Google Scholar
J. J. Sakurai, Ann. Phys. (New York) 11, 1 (1960). Crossref, Web of Science, ADS, Google Scholar
Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961). Crossref, Web of Science, ADS, Google Scholar
J. Bardeen, L. N. Cooper and J. R. Schrieffer, Phys. Rev. 106, 162 (1957). Crossref, Web of Science, ADS, Google Scholar
D. Ebert and M. K. Volkov, Z. Phys. C 16, 205 (1983). Crossref, ADS, Google Scholar
D. Ebert and H. Reinhardt, Nucl. Phys. B 271, 188 (1986). Crossref, Web of Science, ADS, Google Scholar
M. Rasolt, Phys. Rev. Lett. 58, 1482 (1987). Crossref, Web of Science, ADS, Google Scholar
Z. Tešanović, M. Rasolt and L. Xing, Phys. Rev. Lett. 63, 2425 (1989). Crossref, Web of Science, ADS, Google Scholar
M. Rasolt and Z. Tešanović, Rev. Mod. Phys. 64, 709 (1992). Crossref, Web of Science, ADS, Google Scholar
F. Lévyet al., Science 309, 1343 (2005). Crossref, Web of Science, ADS, Google Scholar
D. Aoki and et al, J. Phys. Soc. Jpn. 78, 113709 (2009). Crossref, ADS, Google Scholar
D. Aoki and et al, J. Phys. Soc. Jpn. 80, SA008 (2011), arXiv:1012.1987. Crossref, Google Scholar
N. K. Nielsen and P. Olesen, Nucl. Phys. B 144, 376 (1978). Crossref, Web of Science, ADS, Google Scholar
M. Bordag and V. Skalozub, Phys. Rev. D 75, 125003 (2007), arXiv:hep-th/0611256. Crossref, Web of Science, ADS, Google Scholar
J. Ambjorn and P. Olesen, Nucl. Phys. B 315, 606 (1989). Crossref, Web of Science, ADS, Google Scholar
J. Ambjorn and P. Olesen, Int. J. Mod. Phys. A 5, 4525 (1990). Link, Web of Science, ADS, Google Scholar
J. Ambjorn and P. Olesen, Phys. Lett. B 218, 67 (1989). Crossref, Web of Science, ADS, Google Scholar
A. Samsonov, JHEP 0312, 061 (2003). ADS, Google Scholar
V. V. Braguta and A. I. Onishchenko, Phys. Rev. D 70, 033001 (2004). Crossref, Web of Science, Google Scholar
T. M. Aliev and M. Savci, Phys. Rev. D 70, 094007 (2004). Crossref, Web of Science, Google Scholar
M. S. Bhagwat and P. Maris, Phys. Rev. C 77, 025203 (2008), arXiv:nucl-th/0612069. Crossref, Web of Science, Google Scholar
J. N. Hedditchet al., Phys. Rev. D 75, 094504 (2007). Crossref, Web of Science, Google Scholar
F. X. Lee, S. Moerschbacher and W. Wilcox, Phys. Rev. D 78, 094502 (2008). Crossref, Web of Science, Google Scholar
M. N. Chernodub, J. Van Doorsselaere and H. Verschelde, [hep-ph] , arXiv:1111.4401 . Google Scholar
J. Van Doorsselaere, [hep-ph] , arXiv:1201.0909 . Google Scholar
D. N. Voskresensky, Phys. Lett. B 392, 262 (1997). Crossref, Web of Science, ADS, Google Scholar
O. Aharonyet al., JHEP 0802, 071 (2008), arXiv:0709.3948. ADS, Google Scholar
M. Ammonet al., Phys. Lett. B 680, 516 (2009). Crossref, Web of Science, ADS, Google Scholar
A. A. Abrikosov, JETP 5, 1174 (1957). Google Scholar