Correlation functions in the Non Perturbative Renormalization Group and field expansion

Details Correlation functions in the Non Perturbative Renormalization Group and field expansion Correlation functions in the Non Perturbative Renormalization Group and field expansion

2007-04-02

arxiv.org/abs/0704.0258v2

Eur.Phys.J.B59:357-365,2007

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 6 figures. Minor changes. Version to be published in EPJ B

Scientific paper

10.1140/epjb/e2007-00296-x

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 $\eta$ by as much as 60%. However, if one goes to high order truncations the procedure seems to converge rapidly.

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