Results 1 to 10 of about 91,026 (243)
Modular Theory, Non-Commutative Geometry and Quantum Gravity [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A.
Wicharn Lewkeeratiyutkul +2 more
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Distances on a Lattice from Non-commutative Geometry [PDF]
, 1994 Using the tools of noncommutative geometry we calculate the distances between the points of a lattice on which the usual discretized Dirac operator has been defined. We find that these distances do not have the expected behaviour, revealing that from the
Balachandran +10 more
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Gravity, Non-Commutative Geometry and the Wodzicki Residue [PDF]
, 1993 We derive an action for gravity in the framework of non-commutative geometry by using the Wodzicki residue. We prove that for a Dirac operator $D$ on an $n$ dimensional compact Riemannian manifold with $n\geq 4$, $n$ even, the Wodzicki residue Res$(D^{-n+
Berline +26 more
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Non-commutative geometry, non-associative geometry and the standard model of particle physics
New Journal of Physics, 2014 Connes’ notion of non-commutative geometry (NCG) generalizes Riemannian geometry and yields a striking reinterepretation of the standard model of particle physics, coupled to Einstein gravity.
Latham Boyle, Shane Farnsworth
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Non-Commutative Geometry from Strings [PDF]
, 2005 To appear in Encyclopedia of Mathematical Physics, J.-P. Fran\c{c}oise, G. Naber and T.S. Tsou, eds., Elsevier, 2006. The article surveys the modern developments of noncommutative geometry in string theory.Comment: 26 pages, no figures.
Chu +8 more
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Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones Mathematicae - General Algebra and Applications, 2017 In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
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Gravitational Measurements in Higher Dimensions
Galaxies, 2021 We attempt to study three significant tests of general relativity in higher dimensions, both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of Einstein’s equation in higher dimensions ...
Davood Mahdavian Yekta +2 more
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Open-string non-associativity in an R-flux background
Journal of High Energy Physics, 2020 We derive the commutation relations for open-string coordinates on D-branes in non-geometric background spaces. Starting from D0-branes on a three-dimensional torus with H -flux, we show that open strings with end points on D3-branes in a three ...
Dieter Lüst +3 more
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A novel approach to non-commutative gauge theory
Journal of High Energy Physics, 2020 We propose a field theoretical model defined on non-commutative space-time with non-constant non-commutativity parameter Θ(x), which satisfies two main requirements: it is gauge invariant and reproduces in the commutative limit, Θ → 0, the standard U(1 ...
Vladislav G. Kupriyanov, Patrizia Vitale
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Perturbation theory for the logarithm of a positive operator
Journal of High Energy Physics, 2023 In various contexts in mathematical physics, such as out-of-equilibrium physics and the asymptotic information theory of many-body quantum systems, one needs to compute the logarithm of a positive unbounded operator.
Nima Lashkari +2 more
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