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

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arxiv 2211.00710 v2 pith:CHI3SGPT submitted 2022-11-01 hep-ph cond-mat.stat-mech

Gregory Johnson , Fabian Rennecke , Vladimir V. Skokov This is my paper
classification hep-phcond-mat.stat-mech
keywords classesuniversalityclassicedgelocationsingularityyang-leealbeit
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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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  1. Lee--Yang edge singularities in Nonlocal Nambu--Jona-Lasinio Model

    hep-ph 2025-09 conditional novelty 6.0 of 10

    In a nonlocal NJL model, Lee-Yang edge singularities follow trajectories that end at the QCD critical point, with critical exponent 1.494(1) matching mean-field scaling.

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