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Pions at finite temperature

Chungsik Song*

  • School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455

  • *Present address: Cyclotron Institute, Texas A&M University, College Station, TX 77843.
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Phys. Rev. D 49, 1556 – Published 1 February, 1994

DOI: https://doi.org/10.1103/PhysRevD.49.1556

Abstract

The properties of pions in hot hadronic matter are analyzed with an effective chiral Lagrangian which includes vector and axial-vector mesons. To obtain the dispersion relation and the absorptive properties of the pions in hot matter, the real and imaginary parts of the pion self-energy are calculated to one-loop order. The dispersion relation is very similar to that of free pions even at T∼160 MeV. The mean free path is estimated from the imaginary part of the self-energy. The mass is obtained from the pole position of the propagator and from the screening limit of the pion self-energy. Even though the deviation of the mass at finite temperature is small, both masses decrease as T increases. Pions remain massless in the chiral limit at finite temperature. Possible mixing of the pions with the A1 mesons at finite temperature is discussed.

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References (19)

  1. A. Bamberger et al., Phys. Lett. B 203, 320 (1988) T. J. Humanic et al., Z. Phys. C 38, 79 (1988) H. Ströbele et al., ibid. 38, 89 (1988) W. J. Harris et al., in Quark Matter '88, Proceedings of the Seventh International Conference on Ultrarelativistic Nucleus-Nucleus Collisions, Lenox, Massachusetts, 1988, edited by G. Baym, P. Braun-Munzinger, and S. Nagamiya [Nucl. Phys. A498, 133c (1989)] R. Renfordt et al., ibid. A498, p. 385c
  2. J. Gasser and H. Leutwyler, Phys. Lett. B 188, 477 (1987)
  3. P. Gerber and H. Leutwyler, Nucl. Phys. B321, 387 (1987)
  4. J. L. Goity and H. Leutwyler, Phys. Lett. B 184, 83 (1989) ibid.228, 425 (1989)
  5. P. Gerber, H. Leutwyler, and J. Goity, Phys. Lett. B 246, 513 (1990) H. Bebie, P. Gerber, J. L. Goity, and H. Leutwyler, Nucl. Phys. B378, 95 (1987)
  6. H. Leutwyler and A. V. Smilga, Nucl. Phys. B342, 302 (1990)
  7. E. V. Shuryak, Nucl. Phys. A533, 761 (1991)
  8. A. Schenk, Nucl. Phys. B363, 97 (1991)
  9. A. Schenk, Phys. Rev. D 47, 5138 (1993)
  10. Chungsik Song, Phys. Rev. D 48, 1375 (1993)
  11. U.-G. Meissner and I. Zahed, Z. Phys. A 327, 5 (1987)
  12. B. W. Lee and H. T. Nieh, Phys. Rev. 166, 1507 (1968)
  13. J. I. Kapusta, in Trends in Theoretical Physics, edited by P. Ellis and Y. C. Tang (Addison-Wesley, Redwood City, CA, 1991), Vol. 2 E. V. Shuryak, Nucl. Phys. A533, 761 (1991)
  14. [10]
  15. J. I. Kapusta, Finite Temperature Field Theory (Cambridge University Press, Cambridge, England, 1989)
  16. R. J. Furnstahl, T. Hatsuda, and Su H. Lee, Phys. Rev. D 42, 1744 (1990) T. Hatsuda, Y. Koike, and Su H. Lee, ibid. 47, 1225 (1992) Nucl. Phys. B394, 221 (1993)
  17. H. Hatsuda and T. Kunihiro, Prog. Theor. Phys. Suppl. 91, 284 (1987)
  18. T. Kunihiro, Nucl. Phys. B351, 593 (1991)
  19. A. Gocksb, Phys. Rev. Lett. 67, 1701 (1991)

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Phys. Rev. D 49, 1556– Published 1 February, 1994
  • Received 29 July 1993

© 1994 American Physical Society

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