Skip to main content

Dimension-2 condensates and Polyakov Chiral Quark Models


We address a possible relation between the expectation value of the Polyakov loop in pure gluodynamics and full QCD based on Polyakov Chiral Quark Models where constituent quarks and the Polyakov loop are coupled in a minimal way. To this end, we use a center symmetry-breaking Gaussian model for the Polyakov loop distribution which accurately reproduces gluodynamics data above the phase transition in terms of dimension-2 gluon condensate. The role played by the quantum and local nature of the Polyakov loop is emphasized.

This is a preview of subscription content, access via your institution.


  1. J.B. Kogut, Phys. Rev. Lett. 50, 393 (1983).

    Article  ADS  Google Scholar 

  2. M. Fukugita, A. Ukawa, Phys. Rev. Lett. 57, 503 (1986).

    Article  ADS  Google Scholar 

  3. F. Karsch, E. Laermann, Phys. Rev. D 50, 6954 (1994) hep-lat/9406008.

    Article  ADS  Google Scholar 

  4. F. Karsch, PoS (Corfu98) 008 (1999).

  5. R.D. Pisarski, hep-ph/0203271 (2002).

  6. A. Mocsy, F. Sannino, K. Tuominen, Phys. Rev. Lett. 92, 182302 (2004) hep-ph/0308135.

    Article  ADS  Google Scholar 

  7. P.N. Meisinger, M.C. Ogilvie, Phys. Lett. B 379, 163 (1996) hep-lat/9512011.

    Article  ADS  Google Scholar 

  8. K. Fukushima, Phys. Lett. B 591, 277 (2004) hep-ph/0310121.

    Article  ADS  Google Scholar 

  9. E. Megías, E. Ruiz Arriola, L.L. Salcedo, Mini-Workshop on Quark Dynamics, Bled 2004, Bled, Slovenia, 12-19 Jul. 2004, in Bled Workshops in Physics, Vol. 5, No. 1 (2004) pp. 1-6, hep-ph/0410053.

  10. E. Megías, E. Ruiz Arriola, L.L. Salcedo, AIP Conf. Proc. 756, 436 (2005) hep-ph/0411293.

    Article  ADS  Google Scholar 

  11. E. Megías, E. Ruiz Arriola, L.L. Salcedo, Phys. Rev. D 74, 065005 (2006) hep-ph/0412308.

    Article  ADS  Google Scholar 

  12. C. Ratti, M.A. Thaler, W. Weise, Phys. Rev. D 73, 014019 (2006) hep-ph/0506234.

    Article  ADS  Google Scholar 

  13. S.K. Ghosh, T.K. Mukherjee, M.G. Mustafa, R. Ray, Phys. Rev. D 73, 114007 (2006) hep-ph/0603050.

    Article  ADS  Google Scholar 

  14. E. Gava, R. Jengo, Phys. Lett. B 105, 285 (1981).

    Article  ADS  Google Scholar 

  15. F. Zantow, hep-lat/0301014 (2003).

  16. O. Kaczmarek, F. Karsch, P. Petreczky, F. Zantow, Phys. Lett. B 543, 41 (2002) hep-lat/0207002.

    Article  ADS  Google Scholar 

  17. O. Kaczmarek, F. Zantow, Phys. Rev. D 71, 114510 (2005) hep-lat/0503017.

    Article  ADS  Google Scholar 

  18. E. Megías, E. Ruiz Arriola, L.L. Salcedo, JHEP 01, 073 (2006) hep-ph/0505215.

    Article  ADS  Google Scholar 

  19. A. Dumitru, Y. Hatta, J. Lenaghan, K. Orginos, R.D. Pisarski, Phys. Rev. D 70, 034511 (2004) hep-th/0311223.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations


Rights and permissions

Reprints and Permissions

About this article

Cite this article

Megıas, E., Ruiz Arriola, E. & Salcedo, L.L. Dimension-2 condensates and Polyakov Chiral Quark Models. Eur. Phys. J. A 31, 553–556 (2007).

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI:


  • 12.39.Fe Chiral Lagrangians
  • 11.10.Wx Finite-temperature field theory
  • 12.38.Lg Other nonperturbative calculations