High Energy Physics - Phenomenology
[Submitted on 4 Mar 2005 (v1), last revised 15 Feb 2006 (this version, v2)]
Title:Selfconsistent calculations of spectral densities in the O(N) model: improving the Hartree-Fock approximation by including nonzero decay widths
View PDFAbstract: We study the linear sigma model with O(N) symmetry at nonzero temperature in the framework of the Cornwall-Jackiw-Tomboulis formalism. Extending the set of two-particle irreducible diagrams by adding sunset diagrams to the usual Hartree-Fock contributions, we derive a new approximation scheme which extends the standard Hartree-Fock approximation by the inclusion of nonzero decay widths. In this approximation, in-medium modifications of the meson masses as well as decay and collisional broadening effects are selfconsistently taken into account. As compared to the standard Hartree-Fock approximation, the temperature for the chiral symmetry restoring phase transition is lowered by \~20%. For large temperatures, the spectral densities of the sigma-meson and the pion become degenerate, as required for the chirally symmetric phase.
Submission history
From: Dirk Roeder dr [view email][v1] Fri, 4 Mar 2005 08:30:47 UTC (416 KB)
[v2] Wed, 15 Feb 2006 11:48:06 UTC (428 KB)
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