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

2016/04/17 by Kazuhiko Kamikado, Kamikado, Kazuhiko, Takuya Kanazawa +1 · 1 citation
Earth and Planetary Sciences · Environmental Science · Medicine · Physics and Astronomy · #Advanced Neuroimaging Techniques and Applications #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Methane Hydrates and Related Phenomena #Seismic Imaging and Inversion Techniques #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.48550/arxiv.1604.04830

8 pages, 1 figure

arxiv created 2016/04/17 · openalex publication_date 2016/04/17 · arxiv updated 2016/04/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Lectures on Phase Transitions and the Renormalization Group

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• Fixed points and the spontaneous breaking of scale invariance

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