Universal location of Yang-Lee edge singularity in classic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> universality classes

Abstract

Employing the functional renormalization group approach at next-to-leading order of the derivative expansion, we refine our earlier findings for the location of the Yang-Lee edge singularity in classic $\mathrm{O}(N)$ universality classes. For the universality classes of interest to QCD, in three dimensions, we found $|{z}_{c}|/{R}_{\ensuremath{\chi}}^{1/\ensuremath{\gamma}}=1.612(9),1.597(3)$ for $N=2$, 4 correspondingly. We also established $|{z}_{c}|=2.04(8),1.69(3)$ for $N=2$, 4 albeit with greater systematic error.

Topics & Concepts