English

Universal location of Yang-Lee edge singularity in classic O(N) universality classes

High Energy Physics - Phenomenology 2023-06-16 v2 Statistical Mechanics

Abstract

Employing the functional renormalization group approach at next-to-leading order of the derivative expansion, we refine our earlier findings for the location of the Yang-Lee edge singularity in classic O(N) universality classes. For the universality classes of interest to QCD, in three dimensions, we found zc/Rχ1/γ=1.612(9), 1.597(3)|z_c|/R_\chi^{1/\gamma} = 1.612(9),\ 1.597(3) for N=2N=2, 44 correspondingly. We also established zc=2.04(8), 1.69(3)|z_c| = 2.04(8),\ 1.69(3) for N=2N=2, 44 albeit with greater systematic error.

Keywords

Cite

@article{arxiv.2211.00710,
  title  = {Universal location of Yang-Lee edge singularity in classic O(N) universality classes},
  author = {Gregory Johnson and Fabian Rennecke and Vladimir V. Skokov},
  journal= {arXiv preprint arXiv:2211.00710},
  year   = {2023}
}

Comments

36 pages; 6 figures; version accepted for publication