A Lie-Algebraic Approach To the Kondo Problem

Details A Lie-Algebraic Approach To the Kondo Problem A Lie-Algebraic Approach To the Kondo Problem

2009-11-15

arxiv.org/abs/0911.2858v1

Physics

Mathematical Physics

3 figures

Scientific paper

The Kondo problem is studied using the unitary Lie algebra of spin-singlet fermion bilinears. In the limit when the number of values of the spin $N$ goes to infinity the theory approaches a classical limit, which still requires a renormalization. We determine the ground state of this renormalized theory. Then we construct a quantum theory around this classical limit, which amounts to recovering the case of finite $N$.

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