23 citations · 77 across the 14 of their papers we have counts for
8 papers · 1 filter
Asymmetric phase transitions in random noncommutative geometries
Benedek Bukor, Masoud Khalkhali, Samuel Kováčik +4
In this paper, we study the asymmetric phases of the quartic type (0, 1) and (1, 0) Dirac en- sembles via three approaches: the Riemann-Hilbert approach, bootstrapping with positiv…
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 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…
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…
Large N limit of fuzzy geometries coupled to fermions
Masoud Khalkhali, Nathan Pagliaroli, Luuk S. Verhoeven
In this paper we present an analysis of the large N limit of a family of quartic Dirac ensembles based on (0, 1) fuzzy geometries that are coupled to fermions. These Dirac ensemble…
Coloured combinatorial maps and quartic bi-tracial 2-matrix ensembles from noncommutative geometry
Masoud Khalkhali, Nathan Pagliaroli
We compute the first twenty moments of three convergent quartic bi-tracial 2-matrix ensembles in the large limit. These ensembles are toy models for Euclidean quantum gravity o…
Double scaling limits of Dirac ensembles and Liouville quantum gravity
Hamed Hessam, Masoud Khalkhali, Nathan Pagliaroli
In this paper we study ensembles of finite real spectral triples equipped with a path integral over the space of possible Dirac operators. In the noncommutative geometric setting o…
Phase Transition in Random Noncommutative Geometries
Masoud Khalkhali, Nathan Pagliaroli
We present an analytic proof of the existence of phase transition in the large limit of certain random noncommutaitve geometries. These geometries can be expressed as ensembles…