Nonperturbative renormalization group approach to the Ising model: a derivative expansion at order $\partial^4$

Details Nonperturbative renormalization group approach to the Ising model: a derivative expansion at order $\partial^4$ Nonperturbative renormalization group approach to the Ising model: a derivative expansion at order $\partial^4$

2003-02-28

arxiv.org/abs/hep-th/0302227v2

Phys.Rev.B68:064421,2003

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.68.064421

On the example of the three-dimensional Ising model, we show that nonperturbative renormalization group equations allow one to obtain very accurate critical exponents. Implementing the order $\partial^4$ of the derivative expansion leads to $\nu=0.632$ and to an anomalous dimension $\eta=0.033$ which is significantly improved compared with lower orders calculations.

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