Skip to main content
SpringerLink
Log in

QCD spectra and random matrix models

  • Published:
Acta Physica Hungarica New Series Heavy Ion Physics

Abstract

We summarize some recent results on the application of macroscopic spectral properties of random matrix models (RMM) to the QCD spectra. A comparison to existing lattice simulation is presented both for staggered and Wilson fermions for high but finite temperature. We consider two types of mixing between the four lowest Matsubara modes, corresponding to third and fifth order algebraic equation for the pertinent resolvent, respectively.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. K. Kanaya, Finite Temperature QCD on the Lattice, talk given atInternational Symposium on Lattice Field Theory, Melbourne, Australia, 11–15 July 1995, e-print hep-lat/9510040.

  2. M.A. Nowak, G. Papp and I. Zahed,Phys. Lett. B389 (1996) 341.

    Google Scholar 

  3. J. Jurkiewicz, M.A. Nowak and I. Zahed,Nucl. Phys. B478 (1996) 605.

    Article  ADS  Google Scholar 

  4. M.A. Nowak, G. Papp and I. Zahed,Phys. Lett. B389 (1996) 137.

    Google Scholar 

  5. M.A. Halasz, T. Kalkreuter, J.J.M. Verbaarschot,Nucl. Phys. (Proc. Suppl.) 53 (1997) 266.

    Article  ADS  Google Scholar 

  6. J.J.M. Verbaarschot,Phys. Lett. B368 (1996) 137.

    MathSciNet  Google Scholar 

  7. A.D. Jackson and J.J.M. Verbaarschot,Phys. Rev. D53 (1996) 7223.

    ADS  Google Scholar 

  8. T.H. Hansson and I. Zahed,Nucl. Phys. B374 (1992) 117; G.E. Brown et al.,Phys. Rev. D45 (1992) 3169; T.H. Hansson, M. Sporre and I. Zahed,Nucl. Phys. B427 (1994) 545.

    Article  Google Scholar 

  9. C. DeTar,Nucl. Phys. (Proc. Suppl.) B42 (1995) 73.

    Article  ADS  Google Scholar 

  10. R. Janik, M.A. Nowak and I. Zahed,Phys. Lett. B392 (1997) 155.

    MathSciNet  Google Scholar 

  11. L.A. Pastur,Theor. Mat. Phys. (USSR) 10 (1972) 67.

    Article  MathSciNet  Google Scholar 

  12. S. Chandrasekharan and N. Christ, Axial Anomaly and the QCD Chiral Phase Transition, talk given atLATTICE’95; e-print hep-lat/9509095.

  13. see e.g. J.J.M. Verbaarschot, inContinuous Advances in QCD, Ed. A.V. Smilga, World Scientific (1994); and references therein.

  14. M. Creutz,Quarks, Gluons and Lattices, Cambridge University Press, 1983, Cambridge.

    Google Scholar 

  15. T. Kalkreuter,Nucl. Phys. (Proc. Suppl.) B49 (1996) 168.

    Article  ADS  Google Scholar 

  16. M.A. Halasz and J.J.M. Verbaarschot,Phys. Rev. Lett. 74 (1995) 3920.

    Article  ADS  Google Scholar 

  17. E. Brézin, C. Itzykson, G. Parisi and J.B. Zuber,Comm. Math. Phys. 59 (1978) 35.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  18. A. Zee,Nucl. Phys. B474 (1996) 726.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  19. E. Brezin and A. Zee,Phys. Rev. E49 (1994) 2588.

    ADS  Google Scholar 

  20. R.A. Janik, M.A. Nowak, G. Papp and I. Zahed,Acta Phys. Pol. B27 (1996) 3271.

    Google Scholar 

  21. G.E. Brown, M. Buballa and M. Rho,Nucl. Phys. B609 (1996) 519.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Gesellschaft für Schwerionenforschung, D-64291, Darmstadt, Germany

    Gábor Papp

  2. Institute for Theoretical Physics, Roland Eötvös University, H-1088, Budapest, Hungary

    Gábor Papp

Authors
  1. Gábor Papp
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to G. Marx and K. Nagy on the occasion of their 70th birthdays

Rights and permissions

Reprints and permissions

About this article

Cite this article

Papp, G. QCD spectra and random matrix models. APH N.S., Heavy Ion Physics 5, 255–269 (1997). https://doi.org/10.1007/BF03053656

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03053656

Keywords

Search

Navigation