Advertisement

The European Physical Journal C

, Volume 58, Issue 2, pp 271–279 | Cite as

Quark potential in a quark–meson plasma

  • Chengfu MuEmail author
  • Pengfei Zhuang
Regular Article - Theoretical Physics

Abstract

We investigate the effect of the restoration of chiral symmetry on the quark potential in a quark–meson plasma by considering meson exchanges in the two flavor Nambu–Jona-Lasinio model at finite temperature and density. There are two possible oscillations in the chiral restoration phase; one is the Friedel oscillation due to the sharp quark Fermi surface at high density, and the other is the Yukawa oscillation driven by the complex meson poles at high temperature. The quark–meson plasma is strongly coupled in the temperature region 1≤T/T c≤3, with T c being the critical temperature of the chiral phase transition. The maximum coupling in this region is located at the phase transition point.

PACS

11.30.Rd 11.10.Wx 25.75.Nq 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    E. Shuryak, J. Phys. G 30, S1221 (2004) CrossRefADSGoogle Scholar
  2. 2.
    O. Kaczmarek, S. Ejiri, F. Karsch, E. Laermann, F. Zantow, Prog. Theor. Phys. Suppl. 153, 287 (2004) CrossRefADSGoogle Scholar
  3. 3.
    M. Asakawa, T. Hatsuda, Phys. Rev. Lett. 92, 012001 (2004) CrossRefADSGoogle Scholar
  4. 4.
    E. Shuryak, I. Zahed, Phys. Rev. D 70, 054507 (2004) CrossRefADSGoogle Scholar
  5. 5.
    J. Kapusta, T. Toimela, Phys. Rev. D 37, 3731 (1988) CrossRefADSGoogle Scholar
  6. 6.
    J. Diaz-Aloso, A. Perez Canyellas, H. Sivak, Nucl. Phys. A 505, 695 (1989) CrossRefADSGoogle Scholar
  7. 7.
    J. Durso, H. Kim, J. Wambach, Phys. Lett. B 298, 267 (1993) CrossRefADSGoogle Scholar
  8. 8.
    J. Diaz-Aloso, E. Gallego, A. Perez, Phys. Rev. Lett. 73, 2536 (1994) CrossRefADSGoogle Scholar
  9. 9.
    H. Sivak, A. Perez, J. Diaz-Alonso, Prog. Theor. Phys. 105, 961 (2001) CrossRefADSGoogle Scholar
  10. 10.
    E. Epelbaum, Prog. Part. Nucl. Phys. 57, 654 (2006) CrossRefADSGoogle Scholar
  11. 11.
    V. Flambaum, E. Shuryak, Phys. Rev. C 76, 065206 (2007) CrossRefADSGoogle Scholar
  12. 12.
    V. Koch, A. Majumder, J. Randrup, Phys. Rev. Lett. 95, 182301 (2005) CrossRefADSGoogle Scholar
  13. 13.
    T. Hatsuda, T. Kunihiro, Phys. Rev. Lett. 55, 158 (1985) CrossRefADSGoogle Scholar
  14. 14.
    Y. Nambu, G. Jona-Lasinio, Phys. Rev. 122, 345 (1961) CrossRefADSGoogle Scholar
  15. 15.
    Y. Nambu, G. Jona-Lasinio, Phys. Rev. 124, 246 (1961) CrossRefADSGoogle Scholar
  16. 16.
    U. Vogl, W. Weise, Prog. Part. Nucl. Phys. 27, 195 (1991) CrossRefADSGoogle Scholar
  17. 17.
    S.P. Klevansky, Rev. Mod. Phys. 64, 649 (1992) CrossRefADSMathSciNetGoogle Scholar
  18. 18.
    M.K. Volkov, Phys. Part. Nucl. 24, 35 (1993) Google Scholar
  19. 19.
    T. Hatsuda, T. Kunihiro, Phys. Rep. 247, 338 (1994) CrossRefGoogle Scholar
  20. 20.
    M. Buballa, Phys. Rept. 407, 205 (2005) CrossRefADSGoogle Scholar
  21. 21.
    J. Hufner, S. Klevansky, P. Zhuang, H. Voss, Ann. Phys. (N.Y.) 234, 225 (1994) CrossRefADSGoogle Scholar
  22. 22.
    P. Zhuang, J. Hufner, S. Klevansky, Nucl. Phys. A 576, 525 (1994) CrossRefADSGoogle Scholar
  23. 23.
    W. Florkowski, B. Friman, Z. Phys. A 347, 271 (1994) CrossRefADSGoogle Scholar
  24. 24.
    W. Florkowski, B. Friman, Acta. Phys. Pol. B 25, 49 (1994) Google Scholar
  25. 25.
    W. Florkowski, Acta. Phys. Pol. B 28, 2079 (1997) Google Scholar
  26. 26.
    W. Florkowski, B. Friman, Nucl. Phys. A 611, 409 (1996) CrossRefADSGoogle Scholar
  27. 27.
    M. Oertel, M. Buballa, J. Wambach, Nucl. Phys. A 676, 247 (2000) CrossRefADSGoogle Scholar
  28. 28.
    M. Huang, P. Zhuang, W. Chao, Phys. Lett. B 514, 63 (2001) zbMATHCrossRefADSGoogle Scholar
  29. 29.
    C. Sasaki, B. Friman, K. Redlich, Phys. Rev. D 75, 054026 (2007) CrossRefADSGoogle Scholar
  30. 30.
    C. Sasaki, B. Friman, K. Redlich, Phys. Rev. Lett. 99, 232301 (2007) CrossRefADSGoogle Scholar
  31. 31.
    F. Froemel, S. Leupold, Phys. Rev. C 76, 035207 (2007) CrossRefADSGoogle Scholar
  32. 32.
    T.M. Schwarz, S.P. Klevansky, G. Rapp, Phys. Rev. C 60, 055205 (1999) CrossRefADSGoogle Scholar
  33. 33.
    M. Huang, P. Zhuang, W. Chao, Phys. Rev. D 65, 076012 (2002) CrossRefADSGoogle Scholar
  34. 34.
    I. Shovkovy, M. Huang, Phys. Lett. B 564, 205 (2003) zbMATHCrossRefADSGoogle Scholar
  35. 35.
    D. Ebert, K.G. Klimenko, V.L. Yudichev, Phys. Rev. C 72, 015201 (2005) CrossRefADSGoogle Scholar
  36. 36.
    S.B. Ruster, V. Werth, M. Buballa, I.A. Shovkovy, D.H. Rischke, Phys. Rev. D 72, 034004 (2005) CrossRefADSGoogle Scholar
  37. 37.
    D. Blaschke, S. Fredriksson, H. Grigorian, A.M. Oztas, F. Sandin, Phys. Rev. D 72, 065020 (2005) CrossRefADSGoogle Scholar
  38. 38.
    M. Frank, M. Buballa, M. Oertel, Phys. Lett. B 562, 221 (2003) CrossRefADSGoogle Scholar
  39. 39.
    A. Barducci, R. Casalbuoni, G. Pettini, L. Ravagli, Phys. Rev. D 71, 016011 (2005) CrossRefADSGoogle Scholar
  40. 40.
    L. He, M. Jin, P. Zhuang, Phys. Rev. D 71, 116001 (2005) CrossRefADSGoogle Scholar
  41. 41.
    K. Fukushima, Phys. Lett. B 591, 277 (2004) CrossRefADSGoogle Scholar
  42. 42.
    C. Ratti, M.A. Thaler, W. Weise, Phys. Rev. D 73, 014019 (2006) CrossRefADSGoogle Scholar
  43. 43.
    E. Shuryak, I. Zahed, Phys. Rev. C 70, 021901(R) (2004) CrossRefADSGoogle Scholar
  44. 44.
    B. Gelman, E. Shuryak, I. Zahed, Phys. Rev. C 74, 044908 (2006) CrossRefADSGoogle Scholar
  45. 45.
    P. Kovtun, D.T. Son, A.O. Starinets, Phys. Rev. Lett. 94, 111601 (2005) CrossRefADSGoogle Scholar
  46. 46.
    L.P. Csernai, J.I. Kapusta, L.D. Mclerran, Phys. Rev. Lett. 97, 152303 (2006) CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  1. 1.Physics DepartmentTsinghua UniversityBeijingChina

Personalised recommendations