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arXiv · 2311.10974

Real symmetric $\Phi^4$-matrix model as Calogero-Moser model

Harald Grosse·Naoyuki Kanomata·Akifumi Sako·Raimar Wulkenhaar
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Abstract

We study a real symmetric $\Phi^4$-matrix model whose kinetic term is given by $\mathrm{Tr}( E \Phi^2)$, where $E$ is a positive diagonal matrix without degenerate eigenvalues. We show that the partition function of this matrix model corresponds to a zero-energy solution of a Sch\"odinger type equation with Calogero-Moser Hamiltonian. A family of differential equations satisfied by the partition function is also obtained from the Virasoro algebra.

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Harald Grosse, Naoyuki Kanomata, Akifumi Sako, Raimar Wulkenhaar. 2023-11-18. Real symmetric $\Phi^4$-matrix model as Calogero-Moser model. https://arxiv.org/abs/2311.10974

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