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Non-Abelian Meissner effect in Yang-Mills theories at weak coupling

A. Gorsky1,2,3, M. Shifman2,3, and A. Yung1,2,4

  • 1Institute of Theoretical and Experimental Physics, Moscow 117259, Russia
  • 2William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA
  • 3Kavli Institute for Theoretical Physics, UCSB, Santa Barbara, California 93106, USA
  • 4Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188300, Russia

Phys. Rev. D 71, 045010 – Published 15 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.045010

Abstract

We present a weak-coupling Yang-Mills model supporting non-Abelian magnetic flux tubes and non-Abelian confined magnetic monopoles. In the dual description the magnetic flux tubes are prototypes of the QCD strings. Dualizing the confined magnetic monopoles we get gluelumps which convert a “QCD string” in the excited state to that in the ground state. Introducing a mass parameter m we discover a phase transition between the Abelian and non-Abelian confinement at a critical value m=m*Λ. Underlying dynamics are governed by a ZN symmetry inherent to the model under consideration. At m>m* the ZN symmetry is spontaneously broken, resulting in N degenerate ZN (Abelian) strings. At m<m* the ZN symmetry is restored, the degeneracy is lifted, and the strings become non-Abelian. We calculate tensions of the non-Abelian strings, as well as the decay rates of the metastable strings, at N1.

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References (46)

  1. G. ’t Hooft, Nucl. Phys. B190, 455 (1981).
  2. S. Mandelstam, Phys. Rep. 23, 245 (1976).
  3. N. Seiberg and E. Witten, Nucl. Phys. B426, 19 (1994); B430, 485(E) (1994); B431, 484 (1994).
  4. A. Abrikosov, Sov. Phys. JETP 32, 1442 (1957) [reprinted in Solitons and Particles, edited by C. Rebbi and G. Soliani (World Scientific, Singapore, 1984), p. 356]; H. Nielsen and P. Olesen, Nucl. Phys. B61, 45 (1973) [reprinted in Solitons and Particles, edited by C. Rebbi and G. Soliani (World Scientific, Singapore, 1984), p. 365].
  5. M. R. Douglas and S. H. Shenker, Nucl. Phys. B447, 271 (1995).
  6. A. Hanany, M. J. Strassler, and A. Zaffaroni, Nucl. Phys. B513, 87 (1998).
  7. M. Hindmarsh and T. W. B. Kibble, Phys. Rev. Lett. 55, 2398 (1985); A. E. Everett and M. Aryal, 57, 646 (1986); E. Witten, Nucl. Phys. B249, 557 (1985); M. Hindmarsh, Phys. Lett. B 225, 127 (1989); M. G. Alford, K. Benson, S. R. Coleman, J. March-Russell, and F. Wilczek, Nucl. Phys. B349, 414 (1991); M. A. C. Kneipp, Int. J. Mod. Phys. A 18, 2085 (2003); Phys. Rev. D 68, 045009 (2003); 69, 045007 (2004).
  8. M. Shifman and A. Yung, Phys. Rev. D 67, 125007 (2003); 70, 025013 (2004).
  9. A. Hanany and D. Tong, J. High Energy Phys. 07 (2003) 037.
  10. R. Auzzi, S. Bolognesi, J. Evslin, K. Konishi, and A. Yung, Nucl. Phys. B673, 187 (2003).
  11. M. Shifman and A. Yung, Phys. Rev. D 70, 045004 (2004).
  12. D. Tong, Phys. Rev. D 69, 065003 (2004).
  13. A. Hanany and D. Tong, J. High Energy Phys. 04 (2004) 066.
  14. V. Markov, A. Marshakov, and A. Yung, hep-th/0408235.
  15. A. Armoni and M. Shifman, Nucl. Phys. B671, 67 (2003).
  16. H. J. de Vega and F. A. Schaposnik, Phys. Rev. Lett. 56, 2564 (1986); Phys. Rev. D 34, 3206 (1986); J. Heo and T. Vachaspati, 58, 065011 (1998); P. Suranyi, Phys. Lett. B 481, 136 (2000); F.  A. Schaposnik and P. Suranyi, Phys. Rev. D 62, 125002 (2000); M. A. C. Kneipp and P. Brockill, 64, 125012 (2001); K. Konishi and L. Spanu, Int. J. Mod. Phys. A 18, 249 (2003).
  17. N. Dorey, J. High Energy Phys. 11 (1998) 005.
  18. N. Dorey, T. J. Hollowood, and D. Tong, J. High Energy Phys. 05 (1999) 006.
  19. A. I. Vainshtein and A. Yung, Nucl. Phys. B614, 3 (2001).
  20. K. Bardakci and M. B. Halpern, Phys. Rev. D 6, 696 (1972).
  21. A. Marshakov and A. Yung, Nucl. Phys. B647, 3 (2002).
  22. A. Hanany and K. Hori, Nucl. Phys. B513, 119 (1998).
  23. V. A. Novikov, M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Phys. Rep. 116, 103 (1984).
  24. E. Witten, Nucl. Phys. B149, 285 (1979).
  25. A. D’Adda, M. Lüscher, and P. Di Vecchia, Nucl. Phys. B146, 63 (1978).
  26. E. Witten, Phys. Rev. Lett. 81, 2862 (1998).
  27. M. Shifman, Phys. Rev. D 59, 021501 (1999).
  28. B. S. Acharya and C. Vafa, hep-th/0103011.
  29. I. Y. Kobzarev, L. B. Okun, and M. B. Voloshin, Yad. Fiz. 20, 1229 (1974) [Sov. J. Nucl. Phys. 20, 644 (1975)]; M. B. Voloshin, in Proceedings of the International School of Subnuclear Physics, Erice, Italy, 1995, edited by A. Zichichi (World Scientific, Singapore, 1996), pp. 88–124.
  30. N. Seiberg, Phys. Rev. Lett. 53, 637 (1984).
  31. S. Cecotti and C. Vafa, Commun. Math. Phys. 158, 569 (1993).
  32. F. A. Bais, Phys. Lett. B 98, 437 (1981).
  33. J. Preskill and A. Vilenkin, Phys. Rev. D 47, 2324 (1993).
  34. M. A. C. Kneipp, Phys. Rev. D 68, 045009 (2003); 69, 045007 (2004).
  35. R. Auzzi, S. Bolognesi, J. Evslin, and K. Konishi, Nucl. Phys. B686, 119 (2004); R. Auzzi, S. Bolognesi, J. Evslin, K. Konishi, and H. Murayama, B701, 207 (2004); R. Auzzi, S. Bolognesi, and J. Evslin, hep-th/0411074.
  36. Y. Isozumi, M. Nitta, K. Ohashi, and N. Sakai, hep-th/0405129.
  37. E. Witten, Nucl. Phys. B403, 159 (1993).
  38. A. Gorsky, A. I. Vainshtein, and A. Yung, Nucl. Phys. B584, 197 (2000).
  39. E. Witten, J. High Energy Phys. 07 (1997) 003.
  40. H. Ooguri and C. Vafa, Nucl. Phys. B641, 3 (2002).
  41. A. Zamolodchikov and Al. Zamolodchikov, Ann. Phys. (N.Y.) 120, 253 (1979).
  42. A. B. Zamolodchikov and A. B. Zamolodchikov, Nucl. Phys. B379, 602 (1992).
  43. V. A. Fateev, E. Onofri, and A. B. Zamolodchikov, Nucl. Phys. B406, 521 (1993).
  44. I. Affleck and F. D. M. Haldane, Phys. Rev. B 36, 5291 (1987); I. Affleck, Phys. Rev. Lett. 66, 2429 (1991).
  45. D. Controzzi and G. Mussardo, Phys. Rev. Lett. 92, 021601 (2004).
  46. S. R. Coleman, Ann. Phys. (N.Y.) 101, 239 (1976).

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