Systematic compactification of the (multi) two-channel Kondo model. III.
Extended field-theoretic renormalization group analysis
- URL: http://arxiv.org/abs/2308.03606v1
- Date: Mon, 7 Aug 2023 14:07:21 GMT
- Title: Systematic compactification of the (multi) 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.
- Score: 68.8204255655161
- 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 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 also 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 companion paper I).
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