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Köln 2004 – scientific programme

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HK: Physik der Hadronen und Kerne

HK 13: Poster Session: Theory

HK 13.11: Poster

Tuesday, March 9, 2004, 13:30–15:30, Foyer

Correlations in quark matter — •Frank Frömel, Stefan Leupold, and Ulrich Mosel — Institut für Theoretische Physik, Universität Giessen, 35392 Giessen, Germany

We investigate the spectral functions of quarks and mesons in quark matter in a self consistent approach. Relations between self energies and spectral functions are used in an iterative calculation beyond the usual mean-field and RPA approximations. Starting from the pointlike interaction of the SU(2) Nambu–Jona-Lasinio model we consider a full series of RPA type diagrams with dressed quarks for the quark collision rate. These diagrams are summed up and interpreted as dynamically generated mesons (σ, π) coupling to the quarks. The results are fed back into the quark self energies to obtain a self consistent scheme. Calculations are performed at zero temperature and finite chemical potential; in contrast to [1] the chirally broken phase is considered. We obtain self consistent results for quark and meson masses and widths. In addition the quark-meson coupling within our model is derived. Deviations from mean-field calculations are discussed.
Work supported by DFG. 2mm

[1] F. Frömel, S. Leupold, U. Mosel, Phys. Rev. C67 (2003) 015206

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