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

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...

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Hauptverfasser: Defenu, Nicolò (VerfasserIn) , Codello, Alessandro (VerfasserIn)
Dokumenttyp: Article (Journal) Kapitel/Artikel
Sprache:Englisch
Veröffentlicht: 21 May 2020
In: Arxiv
Year: 2020, Pages: 1-8
DOI:10.48550/arXiv.2005.10827
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2005.10827
Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2005.10827
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Verfasserangaben:Nicolò Defenu and Alessandro Codello
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Zusammenfassung: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.
Beschreibung:Gesehen am 14.09.2022
Beschreibung:Online Resource
DOI:10.48550/arXiv.2005.10827