HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 107 (2002) > Number 2
| Next Article >

Prog. Theor. Phys. Vol. 107 No. 2 (2002) pp. 403-420

[ Full Text PDF : FREE ACCESS (244K) ]

Dressed Quark Propagator at Finite Temperature in the Schwinger-Dyson Approach with the Rainbow Approximation

— Exact Numerical Solutions and Their Physical Implication —

Takashi Ikeda*

Department of Physics, University of Tokyo, Tokyo 113-0033, Japan

(Received August 23, 2001)

Abstract:

The Schwinger-Dyson equation for the quark in the rainbow approximation at finite temperature (T) is solved numerically without introducing any ansatz for the dressed quark propagator. The dynamical quark mass function and the wave function renormalization are found to have non-trivial dependence on the three momentum, Matsubara frequency and temperature. The critical temperature of the chiral phase transition (Tc) and the T dependence of the quark condensate are strongly affected by the wave function renormalization. It is also found that the system is not a gas of free quarks, but a strongly interacting system of quarks and gluons, even in the chirally symmetric phase.


URL : http://ptp.ipap.jp/link?PTP/107/403/
DOI : 10.1143/PTP.107.403


*E-mail: ikeda@nt.phys.s.u-tokyo.ac.jp

[ Full Text PDF : FREE ACCESS (244K) ] Citation:

References:

  1. See, for example, H. Satz, Nucl. Phys. A 681 (2001), 3[CrossRef]; Nucl. Phys. A 661 (1999), 104[CrossRef].
  2. K. Rajagopal and F. Wilczek, hep-ph/0011333[e-print arXiv].
  3. K. Rajagopal, in Quark-Gluon Plasma 2 (World Scientific, 1995), p. 484.
  4. S. Ejiri, Nucl. Phys. Proc. Suppl. 94 (2001), 19.
    F. Karsch, Nucl. Phys. Proc. Suppl. 83 (2000), 14[Elsevier].
  5. C. D. Roberts and S. M. Schmidt, Prog. Part. Nucl. Phys. 45 (2000), S1.
    C. D. Roberts and A. G. Williams, Prog. Part. Nucl. Phys. 33 (1994), 477.
  6. A. Barducci, R. Casalbuoni, S. De Curtis, R. Gatto and G. Pettini, Phys. Rev. D 41 (1990), 1610[APS]; Phys. Lett. B 231 (1989), 463[CrossRef].
    A. Barducci, R. Casalbuoni, G. Pettini and R. Gatto, Phys. Rev. D 49 (1994), 426[APS].
  7. M. Harada and A. Shibata, Phys. Rev. D 59 (1998), 014010[APS].
    D. Blaschke, C. D. Roberts and S. Schmidt, Phys. Lett. B 425 (1998), 232[CrossRef].
    A. Bender, G. I. Poulis, C. D. Roberts, S. Schmidt and A. W. Tomas, Phys. Lett. B 431 (1998), 263[CrossRef].
    P. Maris, C. D. Roberts and S. Schmidt, Phys. Rev. C 57 (1998), R2821[APS].
    K. Fukazawa, T. Inagaki, S. Mukaigawa and T. Muta, Prog. Theor. Phys. 105 (2001), 979[PTP].
  8. C. J. Burden, C. D. Roberts and A. G. Williams, Phys. Lett. B 285 (1992), 347[CrossRef].
    J. I. Skullerud and A. G. Williams, Phys. Rev. D 63 (2001), 054508[APS]; Nucl. Phys. Proc. Suppl. 83 (2000), 209[CrossRef].
  9. P. Jain and H. J. Munczek, Phys. Rev. D 44 (1991), 1873[APS].
  10. H. Pagels and S. Stokar, Phys. Rev. D 20 (1979), 2947[APS].
  11. K. Higashijima, Phys. Lett. B 124 (1983), 257[CrossRef].
    P. Castorina and S-Y. Pi, Phys. Rev. D 31 (1985), 411[APS].
  12. V. A. Miransky, Sov. J. Nucl. Phys. 38 (1983), 280.
  13. P. Jain and H. J. Munczek, Phys. Lett. B 282 (1992), 157[CrossRef].
  14. T. Kugo and M. Mitchard, Phys. Lett. B 282 (1992), 162[CrossRef].
  15. J. M. Cornwall, R. Jackiw and E. Tomboulis, Phys. Rev. D 10 (1974), 2428[APS].
  16. See, for example, J. P. Blaizot and E. Iancu, hep-ph/0101103[e-print arXiv], to be published in Phys. Rep.
  17. See, for example, M. Le Bellac, Thermal Field Theory (Cambridge University Press, Cambridge, England, 1996).
  18. O. Kiriyama, M. Maruyama and F. Takagi, hep-ph/0101110[e-print arXiv]; Phys. Rev. D 62 (2000), 105008[APS]; Phys. Rev. D 58 (1998), 116001[APS].
    K. Aoki, M. Bando, T. Kugo, M. G. Mitchard and H. Nakatani, Prog. Theor. Phys. 84 (1990), 683[PTP].
  19. A. G. Williams, G. Krein and C. D. Roberts, Ann. of Phys. 210 (1991), 464[CrossRef].
    P. Jain and H. J. Munczek, Phys. Rev. D 48 (1993), 5403[APS].
    H. J. Munczek and P. Jain, Phys. Rev. D 46 (1992), 438[APS].
  20. K. Higashijima, Phys. Rev. D 29 (1984), 1228[APS]; Prog. Theor. Phys. Suppl. No. 104 (1991), 1[PTP].
  21. P. Maris and C. D. Roberts, Phys. Rev. C 56 (1997), 3369[APS].
  22. M. R. Frank and C. D. Roberts, Phys. Rev. C 53 (1996), 390[APS].
  23. A. Höll, P. Maris and C. D. Roberts, Phys. Rev. C 59 (1999), 1751[APS].
  24. T. Suzuki, Prog. Theor. Phys. 80 (1989), 929[PTP]; Prog. Theor. Phys. 81 (1989), 752[PTP].
    S. Maedan and T. Suzuki, Prog. Theor. Phys. 81 (1989), 229[PTP].
  25. S. Sasaki, H. Suganuma and H. Toki, Phys. Lett. B 387 (1996), 145[CrossRef]; Nucl. Phys. B 435 (1995), 443.
  26. M. Stephanov, K. Rajagopal and E. Shuryak, Phys. Rev. Lett. 81 (1998), 4816[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 109 No. 2 (2003) pp. 233-263 :
    Phase Structure of Hot and/or Dense QCD with the Schwinger-Dyson Equation
    Satoshi Takagi
  2. Progress of Theoretical Physics Vol. 114 No. 3 (2005) pp. 595-608 :
    Effective Potential Study of the Chiral Phase Transition in a QCD-Like Theory
    Yoshinori Hashimoto, Yasuhiko Tsue and Hirotsugu Fujii
  3. Progress of Theoretical Physics Vol. 119 No. 1 (2008) pp. 117-137 :
    Quasi-Quark Spectrum in the Chiral Symmetric Phase from the Schwinger-Dyson Equation
    Masayasu Harada Yukio Nemoto and Shunji Yoshimoto
  4. Progress of Theoretical Physics Vol. 123 No. 3 (2010) pp. 533-545 :
    Numerical Calculation of Schwinger-Dyson Equation with Momentum-Dependent Gauge Parameter at Finite Temperature
    Shuji Sasagawa and Hidekazu Tanaka

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.