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We apply the renormalized perturbation theory (RPT) to the symmetric Andersonimpurity model. Within the RPT framework exact results for physical observablessuch as the spin and charge susceptibility can be obtained in terms of therenormalized values $\tilde{\boldsymbol\mu} = (\tilde{\Delta}, \tilde{U})$ ofthe hybridization $\Delta$ and Coulomb interaction $U$ of the model. The maindifficulty in the RPT approach usually lies in the calculation of therenormalized values themselves. In the present work we show how this can beaccomplished by deriving differential flow equations describing the evolutionof $\tilde{\boldsymbol \mu} (\Delta)$ with $\Delta$. By exploiting the factthat $\tilde{\boldsymbol \mu} (\Delta)$ can be determined analytically in thelimit $\Delta \rightarrow \infty$ we solve the flow equations numerically toobtain estimates for the renormalized parameters in the range$0<U/\pi\Delta<3.5$.

Renormalized perturbation theory flow equations for the Anderson impurity model