7 papers
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…
Bootstrapping Tensor Integrals
Nathan Pagliaroli, Carlos I. Pérez-Sánchez, Brayden Smith
This work proposes a bootstrapping with positivity methodology to study random invariant tensors in the large limit. As has been done for invariant random mat…
Enumerating planar stuffed maps as hypertrees of mobiles
Nathan Pagliaroli
A planar stuffed map is an embedding of a graph into the 2-sphere , considered up to orientation-preserving homeomorphisms, such that the complement of the graph is a collec…
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…
Energy dynamics in a class of local random matrix Hamiltonians
Klée Pollock, Jonathan D. Kroth, Nathan Pagliaroli +2
Random matrix theory yields valuable insights into the universal features of quantum many-body chaotic systems. Although all-to-all interactions are traditionally studied, many int…
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…