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Monopole order parameter in SU(2) lattice gauge theory

  • Elementary Particles and Fields
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Abstract

We report the results of numerical calculations for the probability distribution of the values of the monopole creation operator Фmon in the maximal Abelian projection of SU(2) lattice gluodynamics. It turns out that at low temperature in the confinement phase the maximum of the distribution corresponds to a nonzero value of the field Фmon. This means that the effective potential has the form of a Higgs potential. Above the phase-transition point the minimum of the potential (the maximum of the distribution of the monopole creation operator) corresponds to a zero value of the monopole field Fmon. The results presented are a direct proof of the existence of a condensate of Abelian monopoles in the confinement phase of gluodynamics, and they confirm the hypothesis that the vacuum of gluodynamics is analogous to a dual superconductor.

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References

  1. G. ’t Hooft, High Energy Physics, edited by A. Zichichi, Editrice Compositori, Bolognia, 1976.

    Google Scholar 

  2. S. Mandelstam, Phys. Rep. C 23, 245 (1976).

    ADS  Google Scholar 

  3. T. Suzuki, Nucl. Phys. B (Proc. Suppl.) 30, 176 (1993).

    Article  ADS  Google Scholar 

  4. M. I. Polikarpov, Usp. Fiz. Nauk 165, 627 (1995).

    Google Scholar 

  5. J. Fröhlich and P. A. Marchetti, Commun. Math. Phys. 112, 343 (1987).

    Google Scholar 

  6. L. Polley and U. J. Wiese, Nucl. Phys. B 356, 629 (1991); M. I. Polikarpov, L. Polley, and U. J. Wiese, Phys. Lett. B 253, 212 (1991).

    Article  ADS  MathSciNet  Google Scholar 

  7. L. Del Debbio, A. Di Giacomo, and G. Paffuti, Phys. Lett. B 349, 513 (1995); L. Del Debbio, A. Di Giacomo, G. Paffuti, and P. Pieri, Phys. Lett. B 355, 255 (1995).

    ADS  Google Scholar 

  8. T. L. Ivanenko, A. V. Pochinsky, and M. I. Polikarpov, Phys. Lett. B 302, 458 (1993).

    ADS  Google Scholar 

  9. M. N. Chernodub, M. I. Polikarpov, and A. I. Veselov, Phys. Lett. B 342, 303 (1995).

    ADS  Google Scholar 

  10. P. Becher and H. Joos, Z. Phys. C 15, 343 (1982).

    Article  MathSciNet  Google Scholar 

  11. P. A. M. Dirac, Can. J. Phys. 33, 650 (1955).

    MATH  MathSciNet  Google Scholar 

  12. M. N. Chernodub, M. I. Polikarpov, and A. I. Veselov, Preprint ITEP-TH-12/95, hep-lat/9512008, to be published in the proceedings of the workshop “Non-perturbative approaches to QCD” at ECT* in Trent, July 10–28, 1995.

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Authors and Affiliations

  1. Institute of Theoretical and Experimental Physics, 117259, Moscow, Russia

    A. I. Veselov, M. I. Polikarpov & M. N. Chernodub

Authors
  1. A. I. Veselov
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  2. M. I. Polikarpov
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  3. M. N. Chernodub
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Additional information

Pis’ma Zh. Éksp. Teor. Fiz. 63, No. 6, 392–397 (25 March 1996)

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Veselov, A.I., Polikarpov, M.I. & Chernodub, M.N. Monopole order parameter in SU(2) lattice gauge theory. Jetp Lett. 63, 411–416 (1996). https://doi.org/10.1134/1.567040

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  • DOI: https://doi.org/10.1134/1.567040

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