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

• URL: http://arxiv.org/abs/2308.03606v2
• Date: Wed, 7 Aug 2024 20:10:34 GMT
• Title: Systematic compactification of the two-channel Kondo model. III. Extended field-theoretic renormalization group analysis
• Authors: Aleksandar Ljepoja, C. J. Bolech, Nayana Shah,
• Abstract summary: We calculate the detailed flow for the (multi) two-channel Kondo model and its compactified versions. We gain insights into the contradistinction between the consistent vs. conventional bosonization-debosonization formalisms. In particular, we make use of renormalization-flow arguments to further justify the consistent refermionization of the parallel Kondo interaction.
• Score: 44.99833362998488
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 $\href{https://doi.org/10.48550/arXiv.2308.03590}{\textsf{companion paper II}}$) 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 $\href{https://doi.org/10.48550/arXiv.2308.03569}{\textsf{companion paper I}}$)

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