论文标题

$ O(n)$多临界普遍行为的命运

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

论文作者

Defenu, Nicolò, Codello, Alessandro

论文摘要

$ O(n)$对称模型的多临界固定点不再存在于$ n \ to \ infty $限制中,但是调节其歼灭的机制仍然呈现出几个神秘的方面。在这里,我们探讨了$(d,n)$平面中高阶多临界点的演变,并以$ n $的渐近行为揭示了复杂的马赛克。这张照片通过各种RG方法证实,构成了对$ O(n)$ field理论中关键行为的完全理解的基本步骤。

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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