Results 21 to 30 of about 1,110,578 (250)

On Multimatrix Models Motivated by Random Noncommutative Geometry I: The Functional Renormalization Group as a Flow in the Free Algebra [PDF]

open access: yesAnnales de l'Institute Henri Poincare. Physique theorique, 2020
Random noncommutative geometry can be seen as a Euclidean path-integral quantization approach to the theory defined by the Spectral Action in noncommutative geometry (NCG).
Carlos I. Pérez-Sánchez
semanticscholar   +1 more source

One-loop corrections to the spectral action

open access: yesJournal of High Energy Physics, 2022
We analyze the perturbative quantization of the spectral action in noncommutative geometry and establish its one-loop renormalizability in a generalized sense, while staying within the spectral framework of noncommutative geometry. Our result is based on
Teun D. H. van Nuland   +1 more
doaj   +1 more source

String theory and noncommutative geometry [PDF]

open access: yes, 1999
We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative
N. Seiberg, E. Witten
semanticscholar   +1 more source

Computing the spectral action for fuzzy geometries: from random noncommutative geometry to bi-tracial multimatrix models [PDF]

open access: yesJournal of Noncommutative Geometry, 2019
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.
Carlos I. Pérez-Sánchez
semanticscholar   +1 more source

On the noncommutative geometry in quantum mechanics

open access: yesJournal of physics students, 2020
In this paper, we presented and reviewed a formalism that plays a central role in most of the investigations concerning noncommutative geometry. We presented existing methods that successfully allow us to utilize and apply the noncommutativity of phase ...
Ilyas Haouam
semanticscholar   +1 more source

Noncommutative Geometry and Particle Physics [PDF]

open access: yesProceedings of Corfu Summer Institute 2017 "Schools and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2017), 2018
We review the noncommutative approach to the standard model. We start with the introduction if the mathematical concepts necessary for the definition of noncommutative spaces, and manifold in particular.
F. Lizzi
semanticscholar   +1 more source

Wormhole inspired by non-commutative geometry

open access: yesPhysics Letters B, 2015
In the present Letter we search for a new wormhole solution inspired by noncommutative geometry with the additional condition of allowing conformal Killing vectors (CKV).
Farook Rahaman   +3 more
doaj   +1 more source

Spectral Action in Noncommutative Geometry [PDF]

open access: yes, 2019
What is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative geometry a la Connes, deliberately unveiling the answers to these questions.
Michał Eckstein, B. Iochum
semanticscholar   +1 more source

Noncommutative Geometry, the Spectral Standpoint [PDF]

open access: yesNew Spaces in Physics, 2019
We report on the following highlights from among the many discoveries made in Noncommutative Geometry since year 2000: 1) The interplay of the geometry with the modular theory for noncommutative tori, 2) Advances on the Baum-Connes conjecture, on coarse ...
A. Connes
semanticscholar   +1 more source

NONCOMMUTATIVE GEOMETRIES: AN OVERVIEW [PDF]

open access: yesInternational Journal of Modern Physics A, 2008
I make a very introductory overview of noncommutative geometries, focusing on the DFR model for Minkowski space; in this model the noncommutativity, or “fuzziness”, of spacetime events emerges at semiclassical level putting together the Heisenberg principle with general relativity.
openaire   +3 more sources

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