21 citations · 57 across the 10 of their papers we have counts for
10 papers
Comment on 'Gauge networks in noncommutative geometry'
Carlos I. Perez-Sanchez
The article (Gauge networks in noncommutative geometry, J. Geom. Phys. 75 : 71--91, 2014) that motivates this comment provides, in particular, one answer to the following natural q…
The loop equations for noncommutative geometries on quivers
Carlos Perez-Sanchez
We define a path integral over Dirac operators that averages over noncommutative geometries on a fixed graph, as the title reveals, using quiver representations. We prove algebraic…
Bratteli networks and the Spectral Action on quivers
Carlos I. Perez-Sanchez
In the context of noncommutative geometry, we consider quiver representations -- not on vector spaces, as traditional, but on finite-dimensional prespectral triples (`discrete topo…
A ribbon graph derivation of the algebra of functional renormalization for random multi-matrices with multi-trace interactions
Carlos I. Perez-Sanchez
We focus on functional renormalization for ensembles of several (say ) random matrices, whose potentials include multi-traces, to wit, the probability measure contains fac…
On multimatrix models motivated by random noncommutative geometry II: A Yang-Mills-Higgs matrix model
Carlos I. Perez-Sanchez
We continue the study of fuzzy geometries inside Connes' spectral formalism and their relation to multimatrix models. In this companion paper to [arXiv 2007:10914, Ann. Henri Poinc…
Comment on "The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization"
Carlos I. Perez-Sanchez
Recently, [JHEP 20 131 (2020)] obtained (a similar, scaled version of) the ()-phase diagram derived from the Kazakov--Zinn-Justin solution of the Hermitian two-matrix model wi…
On multimatrix models motivated by random Noncommutative Geometry I: the Functional Renormalization Group as a flow in the free algebra
Carlos I. Perez-Sanchez
Random noncommutative geometry can be seen as a Euclidean path-integral approach to the quantization of the theory defined by the Spectral Action in noncommutative geometry (NCG).…
Computing the spectral action for fuzzy geometries: from random noncommutative geometry to bi-tracial multimatrix models
Carlos I. Perez-Sanchez
A fuzzy geometry is a certain type of spectral triple whose Dirac operator crucially turns out to be a finite matrix. This notion was introduced in [J. Barrett, J. Math. Phys. 56,…
Graph calculus and the disconnected-boundary Schwinger-Dyson equations of quartic tensor field theories
Carlos I. Perez-Sanchez
Tensor field theory (TFT) focuses on quantum field theory aspects of random tensor models, a quantum-gravity-motivated generalisation of random matrix models. The TFT correlation f…
The full Ward-Takahashi Identity for colored tensor models
Carlos I. Pérez-Sánchez
Colored tensor models (CTM) is a random geometrical approach to quantum gravity. We scrutinize the structure of the connected correlation functions of general CTM-interactions and…