Higher-Dimensional Chirally Stabilized Fixed Points and Their Deformations

Fuente: arXiv
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Autores principales: Ljepoja, Aleksandar, Wijewardhana, L. C. R., Komijani, Yashar
Formato: Preprint
Publicado: 2025
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author Ljepoja, Aleksandar
Wijewardhana, L. C. R.
Komijani, Yashar
author_facet Ljepoja, Aleksandar
Wijewardhana, L. C. R.
Komijani, Yashar
contents Non-Fermi liquids in $d>2$ remain poorly understood, particularly when relevant perturbations destabilize them. In one spatial dimension, chirally stabilized fixed points provide a rare class of analytically tractable non-Fermi-liquid critical points, but their higher-dimensional analogues have been elusive. Here, we develop a Wilsonian operator-product-expansion renormalization group scheme that captures power-divergent terms and use it to construct finite-$N$ higher-dimensional analogues of chirally stabilized fixed points in arbitrary dimension $d\le4$. This exposes a conformal window at finite $N$. We further show that symmetry-breaking masses, far from being trivial, can collapse this window and drive the system to strong coupling, triggering dynamical mass generation.
format Preprint
id arxiv_https___arxiv_org_abs_2508_18373
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Higher-Dimensional Chirally Stabilized Fixed Points and Their Deformations
Ljepoja, Aleksandar
Wijewardhana, L. C. R.
Komijani, Yashar
Strongly Correlated Electrons
Non-Fermi liquids in $d>2$ remain poorly understood, particularly when relevant perturbations destabilize them. In one spatial dimension, chirally stabilized fixed points provide a rare class of analytically tractable non-Fermi-liquid critical points, but their higher-dimensional analogues have been elusive. Here, we develop a Wilsonian operator-product-expansion renormalization group scheme that captures power-divergent terms and use it to construct finite-$N$ higher-dimensional analogues of chirally stabilized fixed points in arbitrary dimension $d\le4$. This exposes a conformal window at finite $N$. We further show that symmetry-breaking masses, far from being trivial, can collapse this window and drive the system to strong coupling, triggering dynamical mass generation.
title Higher-Dimensional Chirally Stabilized Fixed Points and Their Deformations
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2508.18373