Skip to main content
Log in

Color dielectric model with two scalar fields

  • theoretical physics
  • Published:
The European Physical Journal C - Particles and Fields Aims and scope Submit manuscript

Abstract.

SU(2) Yang-Mills theory coupled in a non-minimal way to two scalar fields is discussed. For the massless scalar fields a family of finite energy solutions generated by an external, static electric charge is found. Additionally, there is a single solution which can be interpreted as a confining one. Similar solutions have been obtained in the magnetic sector. In the case of massive scalar fields the Coulomb problem is investigated. We find that asymptotic behavior of the fields can also, for some values of the parameters of the model, give confinement of the electric charge. Quite interestingly one glueball-meson coupling gives the linear confining potential. Finally, it is shown how, for one non-dynamical scalar field, we can derive the color dielectric generalization of the Pagels-Tomboulis model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. Friedberg, T.D. Lee, Phys. Rev. D 15, 1694 (1977)

    Article  Google Scholar 

  2. M. Ślusarczyk, A. Wereszczyński, Acta Phys. Pol. B 32, 2911 (2001)

    Google Scholar 

  3. J.P. Ralston, hep-ph/0301089

  4. M.M. Brisudova, L. Burakovsky, T. Goldman, A. Szczepaniak, nucl-th/0303012

  5. R. Dick, Phys. Lett. B 397, 193 (1996)

    Article  Google Scholar 

  6. R. Dick, L.P. Fulcher, Eur. Phys. J. C 9, 271 (1999)

    Article  Google Scholar 

  7. D. Bazeia at al., hep-th/0210289

  8. M. Cvetic, A.A. Tseytlin, Nucl. Phys. B 416, 137 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  9. J. Kiskis, Phys. Rev. D 21, 421 (1980)

    Article  Google Scholar 

  10. G. Martens, C. Greiner, S. Leopold, U. Mosel, hep-ph/0303017

  11. E. Seiler, Phys. Rev. D 18, 482 (1978)

    Article  Google Scholar 

  12. L. Motyka, K. Zalewski, Z. Phys. C 69, 342 (1996)

    Google Scholar 

  13. A. Martin, Phys. Lett. B 100, 511 (1981)

    Article  Google Scholar 

  14. D. Gal'tsov, R. Kerner, Phys. Rev. Lett. 84, 5955 (2000)

    Article  Google Scholar 

  15. A. Manohar, H. Georgi, Nucl. Phys. B 234, 189 (1984)

    Article  Google Scholar 

  16. G. 't Hooft, hep-th/0207179

  17. H. Pagels, E. Tomboulis, Nucl. Phys. B 143, 485 (1978)

    Article  Google Scholar 

  18. G. Matinyan, G.K. Savvidy, Nucl. Phys. B 134, 539 (1978)

    Article  Google Scholar 

  19. S.L. Adler, Phys. Rev. D 23, 2905 (1981)

    Google Scholar 

  20. P.M. Fishbane, S. Gasiorowicz, P. Kaus, Phys. Rev. D 36, 251 (1987)

    Article  Google Scholar 

  21. H. Arodź, M. Ślusarczyk, A. Wereszczyński, Acta Phys. Pol. B 32, 2155 (2001)

    Google Scholar 

  22. M. Ślusarczyk, A. Wereszczyński, Acta. Phys. Pol. B 33, 655 (2002)

    Google Scholar 

  23. W.S. Hon, C.S. Luo, G.G. Wong, Phys. Rev. D 64, 014028 (2001)

    Article  Google Scholar 

  24. L. Faddeev, A. Niemi, Nature 387, 58 (1997)

    Article  Google Scholar 

  25. H. Aratyn, L.A. Ferreira, A.H. Zimerman, Phys. Lett. B 456, 162 (1999)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Wereszczyński.

Additional information

Received: 22 April 2003, Published online: 12 September 2003

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wereszczyński, A., Ślusarczyk, M. Color dielectric model with two scalar fields. Eur. Phys. J. C 30, 537–545 (2003). https://doi.org/10.1140/epjc/s2003-01305-3

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s2003-01305-3

Keywords

Navigation