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

Abstract

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.

4 pages, 3 figures

References in corpus (2)

• Exact evolution equation for the effective potential
• Optimization of the derivative expansion in the nonperturbative renormalization group

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