About this Journal Submit a Manuscript Table of Contents
ISRN Mathematical Physics
Volume 2012 (2012), Article ID 236783, 15 pages
http://dx.doi.org/10.5402/2012/236783
Research Article

Evolving Center-Vortex Loops

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

Received 7 December 2011; Accepted 29 March 2012

Academic Editors: J. Bičák and M. Ehrnström

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. G. 't Hooft, “On the phase transition towards permanent quark confinement,” Nuclear Physics, Section B, vol. 138, no. 1, pp. 1–25, 1978.
  2. 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 Scopus
  3. 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
  4. 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 Scopus
  5. G. Mack and E. Pietarinen, “Monopoles, vortices and confinement,” Nuclear Physics, Section B, vol. 205, no. 2, pp. 141–167, 1982. View at Scopus
  6. 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, Section B, vol. 160, no. 2, pp. 380–396, 1979.
  7. 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
  8. R. Hofmann, “Nonperturbative approach to Yang-Mills thermodynamics,” International Journal of Modern Physics A, vol. 20, no. 18, pp. 4123–4216, 2005. View at Publisher · View at Google Scholar
  9. R. Hofmann, “Erratum: “Nonperturbative approach to Yang-Mills thermodynamics” (International Journal of Modern Physics A (2005) 20, 18, (4123-4216)),” International Journal of Modern Physics A, vol. 21, no. 31, pp. 6515–6523, 2006. View at Publisher · View at Google Scholar
  10. 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
  11. R. Hofmann, “Yang-Mills thermodynamics at low temperature,” Modern Physics Letters A, vol. 22, no. 35, pp. 2657–2668, 2007. View at Publisher · View at Google Scholar
  12. R. Hofmann, “Yang-Mills thermodynamics,” http://arxiv.org/abs/0710.0962/.
  13. H. B. Nielsen and P. Olesen, “Vortex-line models for dual strings,” Nuclear Physics, Section B, vol. 61, pp. 45–61, 1973.
  14. S. J. Altschuler and M. A. Grayson, IMA Preprint Series 823, 1991.
  15. S. J. Altschuler, “Singularities of the curve shrinking flow for space curves,” Journal of Differential Geometry, vol. 34, no. 2, pp. 491–514, 1991.
  16. S. L. Smith, M. E. Broucke, and B. A. Francis, “Curve shortening and its application to multi-agent systems,” in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference (CDC-ECC '05), pp. 2817–2822, Seville, Spain, December 2005. View at Publisher · View at Google Scholar · View at Scopus
  17. M. Gage and R. S. Hamilton, “The heat equation shrinking convex plane curves,” Journal of Differential Geometry, vol. 23, pp. 69–96, 1986.
  18. M. A. Grayson, “The heat equation shrinks embedded plane curves to round points,” Journal of Differential Geometry, vol. 26, no. 2, pp. 285–214, 1987.
  19. H. V. Klapdor-Kleingrothaus and I. V. Krivosheina, “The evidence for the observation of 0nu beta beta decay: the identification of 0nu beta beta events from the full spectra,” Modern Physics Letters A, vol. 21, pp. 1547–1566, 2006.
  20. H. V. Klapdor-Kleingrothaus, “From nuclear physics to physics beyond the standard model: first evidence for Lepton number violation and the Majorana character of neutrinos,” International Journal of Modern Physics D, vol. 13, no. 10, pp. 2107–2126, 2004. View at Publisher · View at Google Scholar
  21. H. V. Klapdor-Kleingrothaus, I. V. Krivosheina, A. Dietz, and O. Chkvorets, “Search for neutrinoless double beta decay with enriched 76Ge in Gran Sasso 1990–2003,” Physics Letters, Section B, vol. 586, no. 3-4, pp. 198–212, 2004. View at Publisher · View at Google Scholar · View at Scopus
  22. L. Bosi and G. Cavalleri, “Interpretation of the final bump in the Kurie plot revealed in the Troitsk neutrino mass experiments,” Nuovo Cimento della Societa Italiana di Fisica B, vol. 117, no. 2, pp. 243–249, 2002.
  23. 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
  24. F. Giacosa and R. Hofmann, “A Planck-scale axion and SU(2) Yang-Mills dynamics: present acceleration and the fate of the photon,” European Physical Journal C, vol. 50, no. 3, pp. 635–646, 2007. View at Publisher · View at Google Scholar
  25. 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
  26. 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
  27. P. W. Anderson, “Present status of the theory of high Tc cuprates,” Low Temperature Physics, vol. 32, pp. 282–290, 2006.
  28. P. W. Anderson, “Twenty years of talking past each other: The theory of high Tc,” Physica C, vol. 3, pp. 460–462, 2007.