Correlation functions in the Non Perturbative Renormalization Group and field expansion

D. Guerra (), R. Méndez-Galain () and N. Wschebor ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 59, issue 3, 357-365

Abstract: The usual procedure of including a finite number of vertices in Non Perturbative Renormalization Group equations in order to obtain n-point correlation functions at finite momenta is analyzed. This is done by exploiting a general method recently introduced which includes simultaneously all vertices although approximating their momentum dependence. The study is performed using the self-energy of the tridimensional scalar model at criticality. At least in this example, low order truncations miss quantities as the critical exponent η by as much as 60%. However, if one goes to high order truncations the procedure seems to converge rapidly. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Keywords: 03.75.Hh Static properties of condensates; thermodynamical, statistical, and structural properties, 05.30.Jp Boson systems, (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1140/epjb/e2007-00296-x

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