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Exact perturbative solution of the Kondo problem

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arxiv cond-mat/9506104 v1 pith:IKPEKQAR submitted 1995-06-22 cond-mat hep-thmath.QAq-alg

P. Fendley , H. Saleur This is my paper · ORCID
classification cond-mathep-thmath.QAq-alg
keywords kondoproblemsolutionanisotropicexactmodelperturbativeterms
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We explicitly evaluate the infinite series of integrals that appears in the "Anderson-Yuval" reformulation of the anisotropic Kondo problem in terms of a one-dimensional Coulomb gas. We do this by developing a general approach relating the anisotropic Kondo problem of arbitrary spin with the boundary sine-Gordon model, which describes impurity tunneling in a Luttinger liquid and in the fractional quantum Hall effect. The Kondo solution then follows from the exact perturbative solution of the latter model in terms of Jack polynomials.

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  1. 1d Ising model with $1/r^{1.99}$ interaction

    hep-th 2024-12 conditional novelty 8.0 of 10

    The authors propose a weakly coupled dual field theory for the 1D long-range Ising CFT near s = 1, derive an exact spectrum at s = 1, and find matching perturbative CFT data from RG and bootstrap calculations.

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