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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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
21 May 2020
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| In: |
Arxiv
Year: 2020, Pages: 1-8 |
| DOI: | 10.48550/arXiv.2005.10827 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2005.10827 Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2005.10827 
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| Author Notes: | Nicolò Defenu and Alessandro Codello |
| Summary: | 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. |
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| Item Description: | Gesehen am 14.09.2022 |
| Physical Description: | Online Resource |
| DOI: | 10.48550/arXiv.2005.10827 |