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arXiv · 1910.13261

Constructive Matrix Theory for Higher Order Interaction II: Hermitian and Real Symmetric Cases

Thomas Krajewski·Vincent Rivasseau·Vasily Sazonov
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Abstract

This paper provides the constructive loop vertex expansion for stable matrix models with (single trace) interactions of arbitrarily high even order in the Hermitian and real symmetric cases. It relies on a new and simpler method which can also be applied in the previously treated complex case. We prove analyticity in the coupling constant of the free energy for such models in a domain uniform in the size of the matrix

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Thomas Krajewski, Vincent Rivasseau, Vasily Sazonov. 2019-10-29. Constructive Matrix Theory for Higher Order Interaction II: Hermitian and Real Symmetric Cases. https://arxiv.org/abs/1910.13261

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