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.
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Guerra, D., Méndez-Galain, R. & Wschebor, N. Correlation functions in the Non Perturbative Renormalization Group and field expansion. Eur. Phys. J. B 59, 357–365 (2007). https://doi.org/10.1140/epjb/e2007-00296-x
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DOI: https://doi.org/10.1140/epjb/e2007-00296-x