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Renormalization of a gapless Hartree-Fock approximation to a theory with spontaneously broken O(N)-symmetry | | Yu. B. Ivanov
; F. Riek
; H. van Hees
; J. Knoll
; | | Date: |
16 Jun 2005 | | Journal: | Phys.Rev. D72 (2005) 036008 | | Subject: | High Energy Physics - Phenomenology; Other | hep-ph cond-mat.other nucl-th | | Affiliation: | 1 and 2), F. Riek , H. van Hees , J. Knoll ( GSI Darmstadt, Kurchatov Institute Moscow, Texas A&M University | | Abstract: | 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. | | Source: | arXiv, hep-ph/0506157 | | Services: | Forum | Review | PDF | Favorites | |
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