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

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 $|z_c|/R_{\chi }^{1/\gamma }=1.612(9),1.597(3)$ for $N=2$, $4$ correspondingly. We also established $|z_c|=2.04(8),1.69(3)$ for $N=2$, $4$ albeit with greater systematic error.

Comments: 36 pages; 6 figures; version accepted for publication