Systematic compactification of the two-channel Kondo model. III. Extended field-theoretic renormalization group analysis

TL;DR

This paper employs a field-theoretical renormalization group approach to analyze the two-channel Kondo model and its compactified variants, extending previous work by including non-universal terms, large-channel limits, and finite temperature effects.

Contribution

It advances the understanding of the two-channel Kondo model by going beyond universal beta functions, analyzing compactified versions, and clarifying bosonization formalisms.

Findings

Detailed flow equations for the model and variants

Insights into large-channel-number behavior

Clarification of bosonization-debosonization formalism differences

Abstract

We carry out a field-theoretical renormalization group procedure based on the Callan-Symanzik equation to calculate the detailed flow for the (multi) two-channel Kondo model and its compactified versions. In doing so, we go beyond the universal terms in the beta function we obtained using poor man's scaling (see arXiv:2308.03590 (companion paper II)) and culminate our analysis of how the compactified versions of the model fare against the original one. Among other results, we explore the large-channel-number limit and extend our considerations to the finite temperature crossover region. Moreover, we gain insights into the contradistinction between the consistent vs. conventional bosonization-debosonization formalisms, thereby advancing our understanding on multiple fronts. In particular, we make use of renormalization-flow arguments to further justify the consistent refermionization of the parallel Kondo interaction we presented earlier (see arXiv:2308.03569 (companion paper I))