Selfconsistent calculations of spectral densities in the O(N) model: improving the Hartree-Fock approximation by including nonzero decay widths

Details Selfconsistent calculations of spectral densities in the O(N) model: improving the Hartree-Fock approximation by including nonzero decay widths Selfconsistent calculations of spectral densities in the O(N) model: improving the Hartree-Fock approximation by including nonzero decay widths

2005-03-04

arxiv.org/abs/hep-ph/0503042v2

Nucl.Phys.A775:127-151,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 9 figures. Renormalization of UV-divergent vacuum contributions via cut-off scheme, minor revisions to text

Scientific paper

10.1016/j.nuclphysa.2006.05.007

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.

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