Advertisement

Physics of Particles and Nuclei Letters

, Volume 15, Issue 4, pp 411–416 | Cite as

Solving the Dyson–Schwinger Equation at Zero and Finite Temperatures

  • S. M. Dorkin
  • L. P. Kaptari
  • B. B. Kämpfer
Physics of Elementary Particles and Atomic Nuclei. Theory
  • 13 Downloads

Abstract

The properties of the solutions of the truncated Dyson–Schwinger equation for the quark propagator at finite temperatures within the rainbow-ladder approximation are analysed in some detail.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    P. Maris and C. D. Roberts, Phys. Rev. C 56, 3369 (1997).ADSCrossRefGoogle Scholar
  2. 2.
    P. Maris and P. C. Tandy, Phys. Rev. 60, 055214 (1999).ADSGoogle Scholar
  3. 3.
    S. M. Dorkin, L. P. Kaptari, and B. Kämpfer, Phys. Rev. C 91, 055201 (2015).ADSCrossRefGoogle Scholar
  4. 4.
    T. Hilger, C. Popovici, M. Gomez-Rocha, and A. Krassnigg, Phys. Rev. D 91, 034013 (2015).ADSCrossRefGoogle Scholar
  5. 5.
    A. Holl, A. Krassnigg, and C. D. Roberts, Phys. Rev. C 70, 042203 (2004).ADSCrossRefGoogle Scholar
  6. 6.
    M. Blank and A. Krassnigg, Phys. Rev. D 84, 096014 (2011)ADSCrossRefGoogle Scholar
  7. 6a.
    M. Blank, A. Krassnigg, and A. Maas, Phys. Rev. D 83, 034020 (2011)ADSCrossRefGoogle Scholar
  8. 6b.
    D. Jarecke, P. Maris, and P. C. Tandy, Phys. Rev. C 67, 035202 (2003)ADSCrossRefGoogle Scholar
  9. 6c.
    A. Krassnigg and P. Maris, J. Phys.: Conf. Ser. 9, 153 (2005).ADSGoogle Scholar
  10. 7.
    S. M. Dorkin, T. Hilger, L. P. Kaptari, and B. Kämpfer, Few Body Syst. 49, 247 (2011)ADSCrossRefGoogle Scholar
  11. 7a.
    S. M. Dorkin, L. P. Kaptari, C. C. degli Atti, and B. Kämpfer, Few Body Syst. 49, 233 (2011).ADSCrossRefGoogle Scholar
  12. 8.
    R. Alkofer, P. Watson and H. Weigel, Phys. Rev. D 65, 094026 (2002).ADSCrossRefGoogle Scholar
  13. 9.
    C. S. Fischer, P. Watson and W. Cassing, Phys. Rev. D 72, 094025 (2005).ADSCrossRefGoogle Scholar
  14. 10.
    N. Souchlas, J. Phys. G 37, 115001 (2010).ADSCrossRefGoogle Scholar
  15. 11.
    C. S. Fischer and A. Mueller, Phys. Rev. D 80, 074029 (2009).ADSCrossRefGoogle Scholar
  16. 12.
    M. Blank and A. Krassnigg, Phys. Rev. D 82, 034006 (2010).ADSCrossRefGoogle Scholar
  17. 13.
    T. Matsubara, Prog. Theor. Phys. 14, 351 (1955).ADSCrossRefGoogle Scholar
  18. 14.
    J. I. Kapusta, Finite-Temperature Field Theory (Cambridge Univ. Press, New York, 1989).zbMATHGoogle Scholar
  19. 15.
    A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics, Ed. by R. A. Silverman (Fizmatgiz, Moscow, 1962; Prentice-Hall, Englewood Cliffs, NJ, 1963).Google Scholar
  20. 16.
    N. P. Landsman and Ch. G. van Weert, Phys. Rep. 145, 141 (1987).ADSMathSciNetCrossRefGoogle Scholar
  21. 17.
    H. Umezawa, H. Matsumoto, and M. Tachiki, Termo Field Dynamics and Condensed States (North-Holland, Amsterdam, 1982).Google Scholar
  22. 18.
    M. le Bellac, Thermal Filed Theory, Cambridge Monographs on Mathematical Physics, Ed. by P. V. Landshoff, D. R. Nelson, D. W. Sciama, and S. Weinberg (Cambridge Univ. Press, New York, 1996).Google Scholar
  23. 19.
    A. J. Niemi and G. W. Semenoff, Ann. Phys. 152, 105 (1984).ADSCrossRefGoogle Scholar
  24. 20.
    C. S. Fischer, J. Luecker, and C. A. Welzbacher, Phys. Rev. D 90, 034022 (2014).ADSCrossRefGoogle Scholar
  25. 21.
    C. S. Fischer, A. Maas, and J. M. Pawlowski, Ann. Phys. 324, 2408 (2009).ADSCrossRefGoogle Scholar
  26. 22.
    M. R. Pennington and D. J. Wilson, Phys. Rev. D 84, 094028 (2011); Phys. Rev. D 84, 119901(E) (2011).ADSCrossRefGoogle Scholar
  27. 23.
    A. Cucchieri, A. Maas, and T. Mendes, Phys. Rev. D 75, 076003 (2007).ADSCrossRefGoogle Scholar
  28. 24.
    M. Harada and S. Tagaki, Prog. Theor. Phys. 107, 561 (2002).ADSCrossRefGoogle Scholar
  29. 25.
    S. M. Dorkin, L. P. Kaptari, T. Hilger, and B. Kämpfer, Phys. Rev. C 89, 034005 (2014).ADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • S. M. Dorkin
    • 1
    • 2
  • L. P. Kaptari
    • 2
  • B. B. Kämpfer
    • 3
    • 4
  1. 1.Bogoliubov Lab. Theor. Phys. Joint Institute for Nuclear ResearchDubnaRussia
  2. 2.State University DubnaDubnaRussia
  3. 3.Helmholtz-Zentrum Dresden-Rossendorf, PF 510119DresdenGermany
  4. 4.Institut für Theoretische PhysikTU DresdenDresdenGermany

Personalised recommendations