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

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 نشر من قبل Gregory L. Johnson
 تاريخ النشر 2020
  مجال البحث فيزياء
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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 $Ntoinfty$ 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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