Real symmetric Φ4-matrix model as Calogero–Moser model

Autor(en)

Harald Grosse, Naoyuki Kanomata, Akifumi Sako, Raimar Wulkenhaar

Abstrakt

We study a real symmetric Φ⁴-matrix model whose kinetic term is given by Tr(EΦ²), 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 Schrödinger type equation with Calogero–Moser Hamiltonian. A family of differential equations satisfied by the partition function is also obtained from the Virasoro algebra.

Organisation(en)

Forschungsplattform Internationales Erwin Schrödinger Institut für Mathematik und Physik, Mathematische Physik

Externe Organisation(en)

Universität Wien, Tokyo University of Science, Universität Münster

Journal

Letters in Mathematical Physics

Band

114

Anzahl der Seiten

16

ISSN

0377-9017

DOI

https://doi.org/10.1007/s11005-024-01772-5

Publikationsdatum

02-2024

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik

Schlagwörter

ASJC Scopus Sachgebiete

Statistical and Nonlinear Physics, Mathematical Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/dcde83af-f703-4b3d-8713-93d696662749