Results 11 to 20 of about 91,026 (243)
Non-commutative geometry and irreversibility [PDF]
The European Physical Journal B, 1997 A kinetics built upon $q$-calculus, the calculus of discrete dilatations, is shown to describe diffusion on a hierarchical lattice. The only observable on this ultrametric space is the "quasi-position" whose eigenvalues are the levels of the hierarchy ...
Erzan, Ayse, Gorbon, Ayse
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Gravity in Non-Commutative Geometry [PDF]
Communications in Mathematical Physics, 1992 We study general relativity in the framework of non-commutative differential geometry. In particular, we introduce a gravity action for a space-time which is the product of a four dimensional manifold by a two-point space.
A. Connes +6 more
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Differential Algebras in Non-Commutative Geometry [PDF]
Journal of Geometry and Physics, 1993 We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of ...
Chamseddine +19 more
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Linear Connections in Non-Commutative Geometry [PDF]
Classical and Quantum Gravity, 1994 A construction is proposed for linear connections on non-commutative algebras. The construction relies on a generalisation of the Leibnitz rules of commutative geometry and uses the bimodule structure of $\Omega^1$.
Chamseddine A H +22 more
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Non-Commutative Geometry and the Strong Force [PDF]
Physics Letters B, 1995 The restrictions imposed on the strong force in the `non-commutative standard model' are examined. It is concluded that given the framework of non-commutative geometry and assuming the electroweak sector of the standard model many details of the strong ...
Asquith, Becca
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Supersymmetric quantum theory and non-commutative geometry [PDF]
Communications in Mathematical Physics, 1998 Classical differential geometry can be encoded in spectral data, such as Connes' spectral triples, involving supersymmetry algebras. In this paper, we formulate non-commutative geometry in terms of supersymmetric spectral data.
Froehlich, J. +2 more
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Quantum Logic and Non-Commutative Geometry [PDF]
International Journal of Theoretical Physics, 2004 16 pages, to be published in the International Journal of Theoretical Physics, without ...
P. A. Marchetti, R. Rubele
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(non)commutative f-un geometry [PDF]
, 2009 Stressing the role of dual coalgebras, we modify the definition of affine schemes over the 'field with one element'. This clarifies the appearance of Habiro-type rings in the commutative case, and, allows a natural noncommutative generalization, the study of representations of discrete groups and their profinite completions being our main motivation.
Lieven Le Bruyn
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Introduction to Non-Commutative Geometry [PDF]
Proceedings of Corfu Summer Institute on Elementary Particle Physics — PoS(corfu98), 1999 A review is made of some recent results in noncommutative geometry, especially those aspects which might in some way be of use in the study of strings and membranes. Efforts to add a gravitational field to noncommutative models of space-time are also reviewed. Special emphasis is placed on the case which could be considered as the noncommutative analog
J. Madore
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Brane tilings and non-commutative geometry [PDF]
Journal of High Energy Physics, 2011 We derive the quiver gauge theory on the world-volume of D3-branes transverse to an L(a,b,c) singularity by computing the endomorphism algebra of a tilting object first constructed by Van den Bergh. The quiver gauge theory can be concisely specified by an embedding of a graph into a face-centered cubic lattice.
Richard Eager
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