An asymptotically exact partition function of the multichannel resonant-level model is obtained through Tomonaga-Luttinger bosonization. A Fermi-liquid vs non-Fermi-liquid transition, resulting from a competition between the Kondo resonance and the x-ray edge singularity, is elucidated explicitly via renormalization-group theory. In the strong-coupling limit, the model is renormalized to the Toulouse limit.
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Zhang et al. (1994) studied this question.