Exact Critical Exponents for Pseudo-Particles in the Kondo Problem

TL;DR

This paper derives exact critical exponents for pseudo-particles in the SU(N) Anderson model using Bethe ansatz and conformal field theory, confirming previous predictions and discussing implications for one-dimensional systems.

Contribution

It provides the first exact calculations of critical exponents for pseudo-fermions and slave bosons in the Anderson model with infinite U, using advanced analytical methods.

Findings

Critical exponents match previous predictions.

Results apply to mixed valence and Kondo systems with crystalline fields.

Implications for one-dimensional chiral systems are discussed.

Abstract

Exact critical exponents of the Green functions for pseudo-fermions and slave bosons in the SU($N$) Anderson model with $U\rightarrow\infty$ are obtained by using the Bethe ansatz solution and boundary conformal field theory. They are evaluated exactly for mixed valence systems and Kondo systems with crystalline fields. The results agree with the prediction of Menge and M\"uller-Hartmann, which coincide with those of the X-ray problem. Some implication of our results in one-dimensional chiral systems is also discussed.