Perturbation Technique for the Anderson Hamiltonian

A new strong-coupling diagrammatic perturbation treatment of the Anderson Hamiltonian confirms in finite order Kondo divergencies for the partition function, associated with an effective $s-d$ coupling $J$ as predicted by the Schrieffer-Wolff transformation. This holds true also for the symmetric case. By summing the diagrams with two conduction-electron intermediate states in the limit $U\to \infty$, a Kondo temperature with $J$ near diverging is obtained.