Emergent holographic description for the Kondo effect: Comparison with Bethe ansatz

Abstract

Implementing Wilsonian renormalization group transformations in an iterative way, we develop a nonperturbative field theoretical framework for strongly coupled quantum theories, which takes into account all-loop quantum corrections organized in the 1/N expansion. Here, N represents the flavor number of strongly correlated quantum fields. The resulting classical field theory is given by an effective Landau-Ginzburg theory for a local order parameter field, which appears in one-dimensional higher spacetime. We confirm the nonperturbative nature of this field theoretical framework for the Kondo effect. Intriguingly, we show that the recursive Wilsonian renormalization group method can explain nonperturbative thermodynamic properties of an impurity, consistent with Bethe ansatz for the whole temperature region.