SCALING SOLUTION OF THE OVERSCREENED MULTICHANNEL KONDO MODEL

In the Kondo problem the overscreened multichannel model is the only o ne that can be assessed perturbatively. However, until now there are s till problems remaining in studies by means of a perturbative renormal ization group due to the absence of a proper treatment on the constrai nt of the pseudofermion. In this paper we try to settle these problems . We studied the general overscreened multichannel Kondo problem by me ans of a field-theory renormalization group with the technique of trea ting the pseudofermion constraint as developed recently. We calculated the critical exponent, specific heat, magnetic susceptibility, residu e entropy, and Wilson ratio for the overscreened multichannel Kondo mo del. From these results we conclude that all overscreened multichannel Kondo models with the same channel number K but different S have the same fixed point properties. Therefore, they belong to the same univer sal class, which agrees with the result obtained by Bethe ansatz and c onformal field theory.