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Universal location of the Yang-Lee edge singularity in O(N) theories
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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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The QCD phase diagram, universal scaling, and Lee-Yang zeros
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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