English

Tests of Conformal Field Theory at the Yang-Lee Singularity

Statistical Mechanics 2015-05-14 v1

Abstract

This paper studies the Yang-Lee edge singularity of 2-dimensional (2D) Ising model based on a quantum spin chain and transfer matrix measurements on the cylinder. Based on finite-size scaling, the low-lying excitation spectrum is found at the Yang-Lee edge singularity. Based on transfer matrix techniques, the single structure constant is evaluated at the Yang-Lee edge singularity. The results of both types of measurements are found to be fully consistent with the predictions for the (A4;A1)minimal conformal field theory, which was previously identified with this critical point.

Keywords

Cite

@article{arxiv.0912.3654,
  title  = {Tests of Conformal Field Theory at the Yang-Lee Singularity},
  author = {Tomasz Wydro and John F. McCabe},
  journal= {arXiv preprint arXiv:0912.3654},
  year   = {2015}
}