Critical exponents of the O(N) model in the infrared limit from functional renormalization

Details Critical exponents of the O(N) model in the infrared limit from functional renormalization Critical exponents of the O(N) model in the infrared limit from functional renormalization

2012-01-08

arxiv.org/abs/1201.1625v2

Physics

High Energy Physics

High Energy Physics - Theory

revised version, 7 pages 7 figures

Scientific paper

We determined the critical exponent $\nu$ of the scalar O(N) model with a strategy based on the definition of the correlation length in the infrared limit. The functional renormalization group treatment of the model shows that there is an infrared fixed point in the broken symmetric phase. The appearing degeneracy induces a dynamical length scale there, which can be considered as the correlation length. It is shown that the IR scaling behavior can account either for the Ising type phase transition in the 3-dimensional O(N) model, or for the Kosterlitz-Thouless type scaling of the 2-dimensional O(2) model.

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