Non-unitary observables in the 2d critical Ising model

2001/09/30 by Louis-Pierre Arguin, Yvan Saint-Aubin · 18 citations
Mathematics · Physics and Astronomy · #Conformal field theory #Conformal map #Field (mathematics) #Ising model #Observable #Opinion Dynamics and Social Influence #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Unitary state #hep-th

paper · pdf · doi:10.1016/s0370-2693(02)02228-1

published in Physics Letters B 541(3-4), 384-389 (Elsevier BV) · 9 pages, 4 figures, Latex

arxiv created 2002/05/03 · openalex publication_date 2002/08/01 · arxiv updated 2010/11/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We introduce three non-local observables for the two-dimensional Ising model. At criticality, conformal field theory may be used to obtain theoretical predictions for their behavior. These formulae are explicit enough to show that their asymptotics are described by highest weights h_pq from the Kac table for c=1/2 distinct from those of the three unitary representations (0, 1/16 and 1/2).

Citations

• Conformally Invariant Fractals and Potential Theory