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arXiv · 2006.12541

Universal location of the Yang-Lee edge singularity in O(N) theories

Andrew Connelly·Gregory Johnson·Fabian Rennecke·Vladimir Skokov
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Abstract

We determine a previously unknown universal quantity, the location of the Yang-Lee edge singularity for the O($N$) theories in a wide range of $N$ and various dimensions. At large $N$, we reproduce the $N\to\infty$ analytical result on the location of the singularity and, additionally, we obtain the mean-field result for the location in $d=4$ dimensions. In order to capture the nonperturbative physics for arbitrary $N$, $d$ and complex-valued external fields, we use the functional renormalization group approach.

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Andrew Connelly, Gregory Johnson, Fabian Rennecke, Vladimir Skokov. 2020-06-22. Universal location of the Yang-Lee edge singularity in O(N) theories. https://doi.org/10.1103/physrevlett.125.191602

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