Higher-Dimensional Chirally Stabilized Fixed Points and Their Deformations

TL;DR

This paper develops a renormalization group scheme to construct higher-dimensional analogues of chirally stabilized fixed points, revealing a conformal window and showing how symmetry-breaking can lead to mass generation and strong coupling.

Contribution

It introduces a novel RG scheme capturing power-divergent terms to find finite-N higher-dimensional chirally stabilized fixed points and explores their stability and mass generation mechanisms.

Findings

Constructed higher-dimensional chirally stabilized fixed points in $d\, extless=4$

Identified a conformal window at finite N

Showed symmetry-breaking can induce strong coupling and mass generation

Abstract

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.