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arXiv · 2510.22372

Loop Vertex Representation for Cumulants, Part II: Weingarten Calculus

Vincent Rivasseau
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Abstract

In this paper we construct scalar cumulants for stable random matrix models with single trace interactions of arbitrarily high even order by Weingarten calculus. We obtain explicit and convergent expansions for these scalar cumulants in the limit N tend to infinity.

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Vincent Rivasseau. 2025-10-25. Loop Vertex Representation for Cumulants, Part II: Weingarten Calculus. https://arxiv.org/abs/2510.22372

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