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Solving the Dyson–Schwinger Equation at Zero and Finite Temperatures

  • Physics of Elementary Particles and Atomic Nuclei. Theory
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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.

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References

  1. P. Maris and C. D. Roberts, Phys. Rev. C 56, 3369 (1997).

    Article  ADS  Google Scholar 

  2. P. Maris and P. C. Tandy, Phys. Rev. 60, 055214 (1999).

    ADS  Google Scholar 

  3. S. M. Dorkin, L. P. Kaptari, and B. Kämpfer, Phys. Rev. C 91, 055201 (2015).

    Article  ADS  Google Scholar 

  4. T. Hilger, C. Popovici, M. Gomez-Rocha, and A. Krassnigg, Phys. Rev. D 91, 034013 (2015).

    Article  ADS  Google Scholar 

  5. A. Holl, A. Krassnigg, and C. D. Roberts, Phys. Rev. C 70, 042203 (2004).

    Article  ADS  Google Scholar 

  6. M. Blank and A. Krassnigg, Phys. Rev. D 84, 096014 (2011)

    Article  ADS  Google Scholar 

  7. M. Blank, A. Krassnigg, and A. Maas, Phys. Rev. D 83, 034020 (2011)

    Article  ADS  Google Scholar 

  8. D. Jarecke, P. Maris, and P. C. Tandy, Phys. Rev. C 67, 035202 (2003)

    Article  ADS  Google Scholar 

  9. A. Krassnigg and P. Maris, J. Phys.: Conf. Ser. 9, 153 (2005).

    ADS  Google Scholar 

  10. S. M. Dorkin, T. Hilger, L. P. Kaptari, and B. Kämpfer, Few Body Syst. 49, 247 (2011)

    Article  ADS  Google Scholar 

  11. S. M. Dorkin, L. P. Kaptari, C. C. degli Atti, and B. Kämpfer, Few Body Syst. 49, 233 (2011).

    Article  ADS  Google Scholar 

  12. R. Alkofer, P. Watson and H. Weigel, Phys. Rev. D 65, 094026 (2002).

    Article  ADS  Google Scholar 

  13. C. S. Fischer, P. Watson and W. Cassing, Phys. Rev. D 72, 094025 (2005).

    Article  ADS  Google Scholar 

  14. N. Souchlas, J. Phys. G 37, 115001 (2010).

    Article  ADS  Google Scholar 

  15. C. S. Fischer and A. Mueller, Phys. Rev. D 80, 074029 (2009).

    Article  ADS  Google Scholar 

  16. M. Blank and A. Krassnigg, Phys. Rev. D 82, 034006 (2010).

    Article  ADS  Google Scholar 

  17. T. Matsubara, Prog. Theor. Phys. 14, 351 (1955).

    Article  ADS  Google Scholar 

  18. J. I. Kapusta, Finite-Temperature Field Theory (Cambridge Univ. Press, New York, 1989).

    MATH  Google Scholar 

  19. 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).

  20. N. P. Landsman and Ch. G. van Weert, Phys. Rep. 145, 141 (1987).

    Article  ADS  MathSciNet  Google Scholar 

  21. H. Umezawa, H. Matsumoto, and M. Tachiki, Termo Field Dynamics and Condensed States (North-Holland, Amsterdam, 1982).

    Google Scholar 

  22. 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).

  23. A. J. Niemi and G. W. Semenoff, Ann. Phys. 152, 105 (1984).

    Article  ADS  Google Scholar 

  24. C. S. Fischer, J. Luecker, and C. A. Welzbacher, Phys. Rev. D 90, 034022 (2014).

    Article  ADS  Google Scholar 

  25. C. S. Fischer, A. Maas, and J. M. Pawlowski, Ann. Phys. 324, 2408 (2009).

    Article  ADS  Google Scholar 

  26. M. R. Pennington and D. J. Wilson, Phys. Rev. D 84, 094028 (2011); Phys. Rev. D 84, 119901(E) (2011).

    Article  ADS  Google Scholar 

  27. A. Cucchieri, A. Maas, and T. Mendes, Phys. Rev. D 75, 076003 (2007).

    Article  ADS  Google Scholar 

  28. M. Harada and S. Tagaki, Prog. Theor. Phys. 107, 561 (2002).

    Article  ADS  Google Scholar 

  29. S. M. Dorkin, L. P. Kaptari, T. Hilger, and B. Kämpfer, Phys. Rev. C 89, 034005 (2014).

    Article  ADS  Google Scholar 

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Dorkin, S.M., Kaptari, L.P. & Kämpfer, B.B. Solving the Dyson–Schwinger Equation at Zero and Finite Temperatures. Phys. Part. Nuclei Lett. 15, 411–416 (2018). https://doi.org/10.1134/S1547477118040088

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  • DOI: https://doi.org/10.1134/S1547477118040088

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