Systematic compactification of the two-channel Kondo model. III. Extended field-theoretic renormalization group analysis
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))
Keywords
Cite
@article{arxiv.2308.03606,
title = {Systematic compactification of the two-channel Kondo model. III. Extended field-theoretic renormalization group analysis},
author = {Aleksandar Ljepoja and C. J. Bolech and Nayana Shah},
journal= {arXiv preprint arXiv:2308.03606},
year = {2024}
}
Comments
28 pages, 14 figures, 2 tables