Abstract
The fixed point of the two-channel Kondo (TCK) model does not respect the vacuum of the backward Kondo scattering exchange. It proves rigorously that such a solution for the Kondo effect in a Luttinger liquid is forbidden while backscattering effects are prominent. When U≠0, a description of the fixed point in terms of a local Fermi-liquid is not completely satisfactory since the Wilson ratio is not universal.
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