Structure Constant of the Yang-Lee Edge Singularity

TL;DR

This paper investigates the Yang-Lee edge singularity in the 2D Ising model using transfer matrix and finite-size scaling, measuring correlations and comparing universal amplitudes with conformal field theory predictions.

Contribution

It provides the first detailed measurement of 2- and 3-point correlations at the Yang-Lee singularity and compares these with theoretical predictions from minimal conformal field theory.

Findings

Measured universal amplitudes agree with conformal field theory predictions

Quantified 2-point and 3-point correlation functions at the singularity

Validated finite-size scaling techniques for studying non-unitary critical points

Abstract

This paper studies the Yang-Lee singularity of the 2-dimensional Ising model on the cylinder via transfer matrix and finite-size scaling techniques. These techniques enable a measurement of the 2-point and 3-point correlations and a comparison of a measurement of a corresponding universal amplitude with a prediction for the amplitude from the (A4,A1) minimal conformal field theory.