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Random Dirac Fermions: The su(N) Gauge Potential and ZN Twists

2000/12/22 by M. J. Bhaseen, Bhaseen, M. J.
Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/0012420

6 pages, RevTex

arxiv created 2000/12/22 · openalex publication_date 2000/12/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain the disorder averaged (critical) four-point correlation functions for N species of (two-dimensional Euclidean) Dirac fermions subject to a (Gaussian) random su(N) gauge field. The replica approach and the strong disorder approach yield identical results, as one might expect in the light of recent developments in the N=2 case [1]. We establish a connection with `dressed' ZN twist fields in the c=-2 logarithmic conformal field theory (LCFT), thereby extending the recent connection to `dressed' Z2 twists [1,2]. We draw attention to the fact that `dressed' Z2 twist operators have previously appeared in the description of half flux-quantum quasiholes in the bulk excitations of the Haldane--Rezayi Quantum Hall state [3].

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