# The fate of $O(N)$ multi-critical universal behaviour

@article{Defenu2020TheFO, title={The fate of \$O(N)\$ multi-critical universal behaviour}, author={N. Defenu and A. Codello}, journal={arXiv: Statistical Mechanics}, year={2020} }

The multi-critical fixed points of $O(N)$ symmetric models cease to exist in the $N\to\infty$ limit, but the mechanism regulating their annihilation still presents several enigmatic aspects. Here, we explore the evolution of high-order multi-critical points in the $(d,N)$ plane and uncover a complex mosaics for their asymptotic behaviour at large $N$. This picture is confirmed by various RG approaches and constitutes a fundamental step towards the full comprehension of critical behaviour in $O… Expand

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