Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-06-16
Phys.Rev. D72 (2005) 036008
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, 14 figures / Version accepted by Phys. Rev. D: title and one reference changed
Scientific paper
10.1103/PhysRevD.72.036008
The renormalization of a gapless Phi-derivable Hartree--Fock approximation to the O(N)-symmetric lambda*phi^4 theory is considered in the spontaneously broken phase. This kind of approach was proposed by three of us in a previous paper in order to preserve all the desirable features of Phi-derivable Dyson-Schwinger resummation schemes (i.e., validity of conservation laws and thermodynamic consistency) while simultaneously restoring the Nambu--Goldstone theorem in the broken phase. It is shown that unlike for the conventional Hartree--Fock approximation this approach allows for a scale-independent renormalization in the vacuum. However, the scale dependence still persists at finite temperatures. Various branches of the solution are studied. The occurrence of a limiting temperature inherent in the renormalized Hartree--Fock approximation at fixed renormalization scale mu is discussed.
Hees Hendrik van
Ivanov Yu. B.
Knoll Joern
Riek Felix
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