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Renormalizability of Phi-derivable approximations in scalar phi^4 theory

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arxiv hep-ph/0301201 v1 pith:4K7NEPRA submitted 2003-01-23 hep-ph

Jean-Paul Blaizot , Edmond Iancu , Urko Reinosa This is my paper · ORCID
classification hep-ph
keywords approximationsdivergencesequationsphi-derivablepointrenormalizabilityscalartheory
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We discuss the renormalizability of Phi-derivable approximations in scalar phi^4 theory in four dimensions. The formalism leads to self-consistent equations for the 2-point and the 4-point functions which are plagued by ultraviolet divergences. Through a detailed analysis of the one and two-loop self-energy skeletons, we show that both equations can be renormalized simultaneously and determine the corresponding counterterms. These insure the elimination of ultraviolet divergences both at zero and finite temperature.

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    A 2PI-Hartree effective potential for two mixing scalars is renormalized and used to show that self-consistent thermal resummation can substantially alter predicted phase transition strengths and gravitational wave spectra.

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