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Structure of the exact effective action and quark confinement in MSSM QCD

  • Elementary Particles and Fields
  • Theory
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Abstract

An expression for the exact (beyond perturbation theory) effective action in N=1 supersymmetric gauge theories where all particles, with the exception of gauge bosons, are massive is proposed. By analyzing the form of this expression, it is shown that, in supersymmetric theories, instanton effects can lead to quark confinement. On the basis of first principles, the characteristic scale of confinement is calculated within MSSM QCD, and the result is found to be consistent with experimental data. The proposed explanation differs drastically with the dual Higgs mechanism.

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References

  1. Yu. A. Simonov, Usp. Fiz. Nauk 166, 337 (1996) [Phys. Usp. 39, 313 (1996)].

    Google Scholar 

  2. N. Seiberg and E. Witten, Nucl. Phys. B 426, 19 (1994).

    Article  ADS  MathSciNet  Google Scholar 

  3. Particle Data Group, Phys. Rev. D 50, 1173 (1994).

    Google Scholar 

  4. K. Dienes, hep-th/9602045.

  5. S. Mandelstam, Phys. Lett. B 53, 476 (1975); G. ’t Hooft, Nucl. Phys. B 190, 455 (1981).

    ADS  Google Scholar 

  6. G. ’t Hooft, Phys. Rev. Lett. 37, 8 (1976); Phys. Rev. D 14, 3432 (1976).

    ADS  Google Scholar 

  7. I. Affleck, M. Dine, and N. Seiberg, Nucl. Phys. B 241, 493 (1984).

    Article  ADS  Google Scholar 

  8. N. Seiberg, Phys. Rev. D 49, 6857 (1994).

    Article  ADS  MathSciNet  Google Scholar 

  9. P. Pronin and K. Stepanyantz, Teor. Mat. Fiz. 120, 82 (1999).

    Google Scholar 

  10. V. Novikov, M. Shifman, A. Vainstein, and V. Zakharov, Nucl. Phys. B 229, 381 (1983).

    ADS  Google Scholar 

  11. M. Shifman and A. Vainstein, hep-th/9902018.

  12. G. Bonelli, M. Matone, and M. Tonin, Phys. Rev. D 55, 6466 (1997); R. Flume, M. Magro, L. O’Raifeartaigh, et al., Nucl. Phys. B 494, 331 (1997).

    Article  ADS  MathSciNet  Google Scholar 

  13. S. Cordes, Nucl. Phys. B 273, 629 (1986).

    ADS  Google Scholar 

  14. V. Novikov, M. Shifman, A. Vainshtein, and V. Zakharov, Phys. Lett. B 166, 329 (1986).

    ADS  Google Scholar 

  15. L. Álvarez-Gaume and S. Hassan, Fortschr. Phys. 45, 159 (1997).

    MathSciNet  Google Scholar 

  16. A. Yung, Nucl. Phys. B 485, 38 (1997).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  17. F. Close, An Introduction to Quarks and Partons (Academic, New York, 1979; Moscow, Mir, 1982).

    Google Scholar 

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Translated from Yadernaya Fizika, Vol. 63, No. 5, 2000, pp. 968–974.

Original Russian Text Copyright © 2000 by Stepanyantz.

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Stepanyantz, K.V. Structure of the exact effective action and quark confinement in MSSM QCD. Phys. Atom. Nuclei 63, 897–902 (2000). https://doi.org/10.1134/1.855721

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  • DOI: https://doi.org/10.1134/1.855721

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