28 citations · 135 across the 24 of their papers we have counts for
27 papers
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…
Accretion, mergers, and metastability of fuzzy spheres in a three-matrix model
M. Hrmo, S. Kováčik, K. Magdolenová +5
A three-matrix model that contains a plethora of fuzzy sphere solutions was defined twenty years ago. It has been shown that in a certain regime of the model, combinations of fuzzy…
Numerical Study of Scalar Field Theory on the Fuzzy Onion
Matej Hrmo, Samuel Kováčik, Juraj Tekel
We study the behaviour of the scalar field theory on the fuzzy onion model -- a three-dimensional matrix model consisting of concentric fuzzy spheres of gradually increasing radii.…
Pinpointing Triple Point of Noncommutative Matrix Model with Curvature
Dragan Prekrat, Benedek Bukor, Juraj Tekel
We study a Hermitian matrix model with a quartic potential, modified by a curvature term , where is a fixed external matrix. Inspired by the truncated Heisen…
Hydrogen Atom in a Fuzzy Spherical Cavity
Matej Hrmo, Samuel Kováčik, Patrik Rusnák +1
The fuzzy onion model formed by connecting a set of concentric fuzzy spheres of increasing radius is motivated by studies of quantum space but can also be used to study standard ph…
Cubic asymmetric multitrace matrix model
Benedek Bukor, Juraj Tekel
We analyze multitrace random matrix models with the help of the saddle point approximation and we introduce a multitrace term of type to the action. We obtain the numeric…