Nonperturbative RG analysis of five-dimensional O(N) models with cubic interactions

Kazuhiko Kamikado; Takuya Kanazawa

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arXiv · 1604.04830

Nonperturbative RG analysis of five-dimensional O(N) models with cubic interactions

Kazuhiko Kamikado·Takuya Kanazawa

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Abstract

We reconsider critical properties of O(N) scalar models with cubic interactions in $d>4$ dimensions using functional renormalization group equations. Working at next-to-leading order in the derivative expansion, we find non-trivial IR fixed points at small and intermediate N from beta functions for relevant cubic terms. The putative fixed point at large N suggested recently by higher spin holography and the epsilon-expansion is also discussed, with an emphasis on stability of the effective potential.

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Kazuhiko Kamikado, Takuya Kanazawa. 2016-04-17. Nonperturbative RG analysis of five-dimensional O(N) models with cubic interactions. https://arxiv.org/abs/1604.04830

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