3 papers
math-ph2026
The Schwinger-Dyson equations for random fuzzy geometries coupled to matter
Jeremy Gamble, Masoud Khalkhali, Nathan Pagliaroli
In this work we study the Schwinger-Dyson equations and saddle point equations of matrix integrals that come from type random fuzzy geometries coupled to fermions or bosons…
math-ph2025
Bootstrapping Noncommutative Geometry with Dirac Ensembles
Masoud Khalkhali, Nathan Pagliaroli
This paper surveys a bootstrap framework for random Dirac operators arising from finite spectral triples in noncommutative geometry. Motivated by a toy model for quantum gravity to…
math-ph2025
Bootstrapping the critical behavior of multi-matrix models
Masoud Khalkhali, Nathan Pagliaroli, Andrei Parfeni +1
Given a matrix model, by combining the Schwinger-Dyson equations with positivity constraints on its solutions, in the large limit one is able to obtain explicit and numerical b…