Results 31 to 40 of about 1,108,506 (294)
One-loop corrections to the spectral action
Journal 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
On the noncommutative geometry in quantum mechanics
Journal 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 coarse geometry [PDF]
Journal of Noncommutative Geometry, 2019 We use compactifications of C*-algebras to introduce noncommutative coarse geometry. We transfer a noncommutative coarse structure on a C*-algebra with an action of a locally compact Abelian group by translations to Rieffel deformations and prove that the resulting noncommutative coarse spaces are coarsely equivalent.
Banerjee, Tathagata, Meyer, Ralf
openaire +4 more sources
Noncommutative Geometry and Particle Physics [PDF]
Proceedings 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
Seesaw and noncommutative geometry [PDF]
Physics Letters B, 2007 The 1-loop corrections to the seesaw mechanism in the noncommutative standard model are computed. Other consequences of the Lorentzian signature in the inner space are summarised.
Jureit, J. -H. +3 more
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Computing the spectral action for fuzzy geometries: from random noncommutative geometry to bi-tracial multimatrix models [PDF]
Journal 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
Supergravity on the noncommutative geometry [PDF]
Progress of Theoretical and Experimental Physics, 2017 to be published in "Progress of Theoretical and Experimental Physics"
Shimojo, Masafumi +4 more
openaire +4 more sources
Spectral Action in Noncommutative Geometry [PDF]
, 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]
New 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
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Internal Space for the Noncommutative Geometry Standard Model and Strings [PDF]
, 2006 In this paper I discuss connections between the noncommutative geometry approach to the standard model on one side, and the internal space coming from strings on the other.
Berline N. +7 more
core +5 more sources