Berlin 2005 – wissenschaftliches Programm
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HK: Physik der Hadronen und Kerne
HK 34: Theorie
HK 34.9: Vortrag
Dienstag, 8. März 2005, 18:30–18:45, TU MA042
Nambu Goldstone modes in a modified Hartree Approximation to the O(N) Model — •Felix Riek1, Yuri Ivanov1,2, and Jörn Knoll1 — 1GSI, 64291 Darmstadt, Planckstr. 1 — 2Kurchatov Institute, Kurchatov sq. 1, Moscow 123182
We present a modified selfconsistent Hartree approximation at the
example of the φ4 O(N)-model. The modification complies
a) with all the desireable features of selfconsistent
Dyson resummation schemes base on the 2PI functional formalism
(Φ-derivable approximation) like conservation laws and
thermodynamical consistency, while b) it simultaneously respects the
Nambu-Goldstone theorem in the chirally broken phase. Because of
these features our approach allows a scale independent renormalization
of the self consistent treatment in the vacuum. However the scale
dependence still persists at finite temperature leading to
ambiguous results.
In this talk the temperature dependence of the masses of the pion and
sigma meson will be presented together with a discussion of the
resulting phase structure of the system. The results will be compared
to the standard Hartree approximation.