Bootstrapping Dirac Ensembles
Hamed Hessam, Masoud Khalkhali, Nathan Pagliaroli
TL;DR
This paper employs bootstrap methods to analyze moments of multi-matrix random models inspired by noncommutative geometry, establishing relations between model parameters and moments.
Contribution
It introduces a bootstrap approach to derive moments and their relations in multi-matrix models, extending the analytical tools in noncommutative geometry contexts.
Findings
Derived explicit relations for higher mixed moments.
Connected coupling constants with second moments.
Expressed all moments via Schwinger-Dyson equations.
Abstract
We apply the bootstrap technique to find the moments of certain multi-trace and multi-matrix random matrix models suggested by noncommutative geometry. Using bootstrapping we are able to find the relationships between the coupling constant of these models and their second moments. Using the Schwinger-Dyson equations, all other moments can be expressed in terms of the coupling constant and the second moment. Explicit relations for higher mixed moments are obtained.
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