Analyticity of critical exponents of the $O(N)$ models from nonperturbative renormalization

@article{Chlebicki2020AnalyticityOC,
  title={Analyticity of critical exponents of the \$O(N)\$ models from nonperturbative renormalization},
  author={Andrzej Chlebicki and Paweł Jakubczyk},
  journal={arXiv: Statistical Mechanics},
  year={2020}
}
We employ the functional renormalization group framework at second order in the derivative expansion to study the $O(N)$ models continuously varying the number of field components $N$ and the spatial dimensionality $d$. Of our special interest are phenomena occurring in the vicinity of $d=2$. We in particular address the Cardy-Hamber prediction concerning nonanalytical behavior of the critical exponents $\nu$ and $\eta$ across a line in the $(d,N)$ plane, which passes through the point $(2,2… 

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