Skip to main content
Log in

Analytic determination of the T-μ phase diagram of the chiral quark model

  • Published:
Acta Physica Hungarica Series A, Heavy Ion Physics

Abstract

Using a gap equation for the pion mass a non-perturbative method is given for solving the chiral quark-meson model in the chiral limit at the lowest order in the fermion contributions encountered in a large-N fapproximation. The location of the tricritical point is analytically determined. A mean field potential is constructed from which critical exponents can be obtained.

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. K. Rajagopal, Nucl. Phys. B661 (1999) 150.

    Article  MATH  Google Scholar 

  2. E. Laermann and O. Philipsen, Ann. Rev. Nucl. Part. Sci. 53 (2003) 163.

    Article  ADS  Google Scholar 

  3. Z. Fodor and S.D. Katz, JHEP 0404 (2004) 050.

    Article  ADS  Google Scholar 

  4. S. Ejiri et al., Prog. Theor. Phys. Suppl. 153 (2004) 118 [hep-lat/0312006].

    Article  ADS  Google Scholar 

  5. A. Barducci, R. Casalbuoni, G. Pettini and L. Ravagli, Phys. Lett. B564 (2003) 217; S. Takagi, Prog. Theor. Phys. 109 (2003) 233.

    Google Scholar 

  6. Y. Nishida, Phys. Rev. D69 (2004) 094501.

    Article  Google Scholar 

  7. J. Berges and K. Rajagopal, Nucl. Phys. B538 (1999) 215; T.M. Schwarz, S.P. Klevansky and G. Papp, Phys. Rev. C60 (1999) 055205; O. Scavenius, Á. Mócsy, I.N. Mishustin and D.H. Rischke, Phys. Rev. C64 (2001) 045202.

    Article  ADS  Google Scholar 

  8. M. Stephanov, K. Rajagopal, E. Shuryak, Phys. Rev. D60 (1999) 114028; Sz. Borsányi, A. Patkós, D. Sexty and Zs. Szép, Phys. Rev. D64 (2001) 125011; Y. Hatta and M.A. Stephanov, Phys. Rev. Lett. 91 (2003) 102003 [Erratum: ibid. 91 (2003) 129901].

    Google Scholar 

  9. Y. Hatta and T. Ikeda, Phys. Rev. D67 (2003) 014028.

    ADS  Google Scholar 

  10. A. Jakovác, A. Patkós, Zs. Szép and P. Szépfalusy, Phys. Lett. B582 (2004) 179.

    Google Scholar 

  11. B.-J. Schaefer and J. Wambach, nucl-th/0403039.

  12. F. Karsch, K. Redlich and A. Tawfik, Eur. Phys. J. C29 (2003) 549.

    Article  MATH  ADS  Google Scholar 

  13. J. Braun, K. Schwenzer and H.-J. Pirner, Phys. Rev. D70 (2004) 085016.

    Google Scholar 

  14. Ph. de Forcrand and O. Philipsen, Nucl. Phys. B642 (2002) 290.

    Article  MATH  ADS  Google Scholar 

  15. M. Reuter, N. Tetradis and C. Wetterich, Nucl. Phys. B401 (1993) 567.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jakovác, A., Patkós, A., Szép, Z. et al. Analytic determination of the T-μ phase diagram of the chiral quark model. Acta Phys. Hung. A 22, 355–362 (2005). https://doi.org/10.1556/APH.22.2005.3-4.22

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1556/APH.22.2005.3-4.22

Keywords

PACS

Navigation