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arXiv · 2211.00710

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

Gregory Johnson·Fabian Rennecke·Vladimir V. Skokov
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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.

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Gregory Johnson, Fabian Rennecke, Vladimir V. Skokov. 2022-11-01. Universal location of Yang-Lee edge singularity in classic O(N) universality classes. https://doi.org/10.1103/physrevd.107.116013

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