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

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arxiv 2006.12541 v2 pith:F6K7OKNA submitted 2020-06-22 cond-mat.stat-mech hep-phnucl-th

Andrew Connelly , Gregory Johnson , Fabian Rennecke , Vladimir Skokov This is my paper · ORCID
classification cond-mat.stat-mechhep-phnucl-th
keywords locationsingularitydimensionsedgeresulttheoriesuniversalyang-lee
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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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Cited by 2 Pith papers

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  1. Lee Yang edge singularities of QCD in association with Roberge-Weiss phase transition and chiral phase transition

    hep-ph 2025-04 conditional novelty 6.0 of 10

    Including a confining background field in Dyson-Schwinger equations makes Lee-Yang edge singularities terminate at the Roberge-Weiss line, mu_i = pi T / 3, above T = 0.235 GeV, while leaving the critical exponent unchanged.

  2. The QCD phase diagram, universal scaling, and Lee-Yang zeros

    hep-lat 2025-01 conditional novelty 2.0 of 10

    Scaling fits give a chiral transition temperature around 144 MeV at one lattice spacing and a not yet continuum extrapolated QCD critical endpoint near T=105 MeV, mu_B=422 MeV.

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