On the 2-point function of the O(N) model

Details On the 2-point function of the O(N) model On the 2-point function of the O(N) model

2007-08-01

arxiv.org/abs/0708.0238v1

Phys.Rev.B77:024431,2008

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevB.77.024431

The self-energy of the critical 3-dimensional O(N) model is calculated. The analysis is performed in the context of the Non-Perturbative Renormalization Group, by exploiting an approximation which takes into account contributions of an infinite number of vertices. A very simple calculation yields the 2-point function in the whole range of momenta, from the UV Gaussian regime to the scaling one. Results are in good agreement with best estimates in the literature for any value of N in all momenta regimes. This encourages the use of this simple approximation procedure to calculate correlation functions at finite momenta in other physical situations.

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