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

Jean-Paul Blaizot·Edmond Iancu·Urko Reinosa
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Abstract

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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Jean-Paul Blaizot, Edmond Iancu, Urko Reinosa. 2003-01-23. Renormalizability of Phi-derivable approximations in scalar phi^4 theory. https://doi.org/10.1016/j.physletb.2003.06.008

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