Bootstrapping Dirac Ensembles
High Energy Physics - Theory
2022-02-09 v2 Mathematical Physics
math.MP
Operator Algebras
Quantum Algebra
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.
Cite
@article{arxiv.2107.10333,
title = {Bootstrapping Dirac Ensembles},
author = {Hamed Hessam and Masoud Khalkhali and Nathan Pagliaroli},
journal= {arXiv preprint arXiv:2107.10333},
year = {2022}
}
Comments
4 figures, 17 pages. The introduction is extended, new references are added. The rest did not change. To appear in J. Phys. A: Math. Theor