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mathematical, conceptual, and constructive problems in
local relativistic quantum physics (LQP).
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A ribbon graph derivation of the algebra of functional renormalization for random multi-matrices with multi-trace interactions
Carlos I. Perez-Sanchez
November 04, 2021
Renormalization Group
,
Random Matrices
,
Noncommutative Algebra
open access link
Lett. Math. Phys. 112, 58 (2022)
On multimatrix models motivated by random noncommutative geometry II: A Yang-Mills-Higgs matrix model
Carlos I. Perez-Sanchez
May 03, 2021
finite almost-commutative manifolds
,
noncommutative geometry
,
Gauge theory
,
random noncommutative geometry
,
quantum gravity
open access link
Ann. Henri Poincaré
On multimatrix models motivated by random Noncommutative Geometry I: the Functional Renormalization Group as a flow in the free algebra
Carlos I. Perez-Sanchez
July 21, 2020
Renormalization Group
,
noncommutative geometry
,
matrix models
,
fuzzy geometry
,
quantum spacetime
,
large-N limit
,
free probability
open access link
Ann Henri Poincaré 22:3095-3148, 2021
Computing the spectral action for fuzzy geometries: from random noncommutatative geometry to bi-tracial multimatrix models
Carlos I. Perez-Sanchez
December 31, 2019
noncommutative geometry
,
spectral triple
,
random fuzzy geometries
,
multimatrix models
open access link
J. Noncommut. Geom. 16 (2022), no. 4, pp. 1137-1178
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