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

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.

6 pages, 2 figures; version accepted for publication in PRL

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• Five loop renormalization of ${\varphi }^3$ theory with applications to the Lee-Yang edge singularity and percolation theory
• Shocks and quark-meson scatterings at large density
• Analytical structure of the equation of state at finite density: Resummation versus expansion in a low energy model
• Apparent convergence of Padé approximants for the crossover line in finite density QCD
• Universal location of Yang-Lee edge singularity for a one-component field theory in $1\le d\le 4$
• Universal location of Yang-Lee edge singularity in classic O(N) universality classes
• Net-baryon number fluctuations
• Experimental observation of the Yang-Lee quantum criticality in open systems
• Functional flows for complex effective actions
• Determination of Lee-Yang edge singularities in QCD by rational approximations
• Lee-Yang and Langer edge singularities from analytic continuation of scaling functions
• Quantum adiabatic cycles and their breakdown
• Exploring Lee-Yang and Fisher Zeros in the 2D Ising model through multipoint Padé approximants
• Contribution to understanding the phase structure of strong interaction matter: Lee-Yang edge singularities from lattice QCD
• Extrapolation from hypergeometric functions, continued functions and Borel-Leroy transformation; Resummation of perturbative renormalization functions from field theories
• Two lectures on Yang-Lee edge singularity and analytic structure of QCD equation of state
• Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD
• Lee-Yang-zero ratio method in three-dimensional Ising model
• Universality, Lee-Yang singularities and series expansions
• Characterizing the Yang-Lee zeros of the classical Ising model through dynamic quantum phase transitions