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Correlation functions in the Non Perturbative Renormalization Group and field expansion

Author

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  • D. Guerra
  • R. Méndez-Galain
  • N. Wschebor

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

Suggested Citation

  • D. Guerra & R. Méndez-Galain & N. Wschebor, 2007. "Correlation functions in the Non Perturbative Renormalization Group and field expansion," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 59(3), pages 357-365, October.
    • Handle: RePEc:spr:eurphb:v:59:y:2007:i:3:p:357-365
    DOI: 10.1140/epjb/e2007-00296-x
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