arXiv:2005.10827 [cond-mat.stat-mech]AbstractReferencesReviewsResources
The fate of $O(N)$ multi-critical universal behaviour
Nicolò Defenu, Alessandro Codello
Published 2020-05-21Version 1
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 $O(N)$ field theories.
Comments: 7 pages, 2 figures
Categories: cond-mat.stat-mech, hep-th