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ISRN Mathematical Physics
Volume 2012 (2012), Article ID 601749, 16 pages
http://dx.doi.org/10.5402/2012/601749
Research Article

Center-Vortex Loops with One Self-Intersection

Institut für Theoretische Physik, Universität Karlsruhe (TH), Kaiserstrasse 12, 76131 Karlsruhe, Germany

Received 7 December 2011; Accepted 1 April 2012

Academic Editors: E. Akhmedov and S. Ketov

Copyright © 2012 Julian Moosmann and Ralf Hofmann. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. W. T. Kelvin and P. G. Tait, Treatise on Natural Philosophy, vol. 2, Cambridge University Press, 1867.
  2. J. G. Bednorz and K. A. Müller, “Possible high Tc superconductivity in the Ba-La-Cu-O system,” Zeitschrift für Physik B Condensed Matter, vol. 64, no. 2, pp. 189–193, 1986. View at Publisher · View at Google Scholar · View at Scopus
  3. P. W. Anderson, “Present status of the theory of high Tc cuprates,” http://arxiv.org/abs/cond-mat/0510053.
  4. P. W. Anderson, “Twenty years of talking past each other: the theory of high Tc,” Physica C, vol. 460-462, pp. 3–6, 2007. View at Publisher · View at Google Scholar · View at Scopus
  5. F. Giacosa, R. Hofmann, and M. Schwarz, “Explosive Z pinch,” Modern Physics Letters A, vol. 21, no. 36, pp. 2709–2715, 2006. View at Publisher · View at Google Scholar · View at Scopus
  6. G. Mack and V. B. Petkova, “Comparison of lattice gauge theories with gauge groups Z2 and SU (2),” Annals of Physics, vol. 123, no. 2, pp. 442–467, 1979. View at Publisher · View at Google Scholar
  7. G. Mack, “Predictions of a theory of quark confinement,” Physical Review Letters, vol. 45, no. 17, pp. 1378–1381, 1980. View at Publisher · View at Google Scholar
  8. G. Mack and V. B. Petkova, “Sufficient condition for confinement of static quarks by a vortex condensation mechanism,” Annals of Physics, vol. 125, no. 1, pp. 117–134, 1980. View at Publisher · View at Google Scholar
  9. G. Mack and E. Pietarinen, “Monopoles, vortices and confinement,” Nuclear Physics B, vol. 205, no. 2, pp. 141–167, 1982. View at Scopus
  10. H. B. Nielsen and P. Olesen, “A quantum liquid model for the QCD vacuum. Gauge and rotational invariance of domained and quantized homogeneous color fields,” Nuclear Physics B, vol. 160, no. 2, pp. 380–396, 1979. View at Scopus
  11. E. Tomboulis, “'t Hooft loop in SU (2) lattice gauge theories,” Physical Review D, vol. 23, no. 10, pp. 2371–2383, 1981. View at Publisher · View at Google Scholar · View at Scopus
  12. G. 't Hooft, “On the phase transition towards permanent quark confinement,” Nuclear Physics B, vol. 138, no. 1, pp. 1–25, 1978. View at Publisher · View at Google Scholar
  13. L. Faddeev and Antti J. Niemi, “Stable knot-like structures in classical field theory,” Nature, vol. 387, no. 6628, pp. 58–61, 1997. View at Scopus
  14. L. Faddeev and A. J. Niemi, “Partially dual variables in SU (2) Yang-Mills theory,” Physical Review Letters, vol. 82, no. 8, pp. 1624–1627, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  15. L. Faddeev and A. J. Niemi, “Aspects of electric and magnetic variables in SU (2) Yang-Mills theory,” Physics Letters. B, vol. 525, no. 1-2, pp. 195–200, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  16. L. Faddeev and A. J. Niemi, “Spin-charge separation, conformal covariance and the SU (2) Yang-Mills theory,” Nuclear Physics B, vol. 776, no. 1-2, pp. 38–65, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  17. R. Hofmann, “Nonperturbative approach to Yang-Mills thermodynamics,” International Journal of Modern Physics A, vol. 20, no. 18, pp. 4123–4216, 2005, Erratum vol. 21, pp. 6515–6523, 2006. View at Publisher · View at Google Scholar · View at Scopus
  18. J. Moosmann and R. Hofmann, “Evolving center-vortex loops,” http://arxiv.org/abs/0804.3527.
  19. M. Gage and R. S. Hamilton, “The heat equation shrinking convex plane curves,” Journal of Differential Geometry, vol. 23, no. 1, pp. 69–96, 1986. View at Zentralblatt MATH
  20. M. A. Grayson, “The heat equation shrinks embedded plane curves to round points,” Journal of Differential Geometry, vol. 26, no. 2, pp. 285–314, 1987. View at Zentralblatt MATH
  21. R. Hofmann, “Yang-Mills thermodynamics,” http://arxiv.org/abs/0710.0962.
  22. M. A. Grayson, “The shape of a figure-eight under the curve shortening flow,” Inventiones Mathematicae, vol. 96, no. 1, pp. 177–180, 1989. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  23. H.-H. Klauss and B. Büchner, “Neuer Goldrausch in der Supraleitung,” Physik Journal, vol. 7, p. 18, 2008.