Revisting the bosonization and scaling of the single-impurity Kondo model

Capitalizing on recent work that clarifies the consistent use of bosonization methods to study quantum impurity models, we revise the refermionization of the multichannel Kondo model and uncover some hidden approximations that limit its range of validity. This complements and extends beyond previous results for the Toulouse limit and reinforces the need for the use of an extended calculational framework. We carry out a number of exact and scaling-analysis comparisons between the different model formulations to show that consistency considerations can lead to a full agreement on all aspects of the physics