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Field Theory on Curved Noncommutative Spacetimes [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We study classical scalar field theories on noncommutative curved spacetimes. Following the approach of Wess et al. [Classical Quantum Gravity 22 (2005), 3511 and Classical Quantum Gravity 23 (2006), 1883], we describe noncommutative spacetimes by using (
Alexander Schenkel +1 more
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Einstein-Riemann Gravity on Deformed Spaces [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2006 A differential calculus, differential geometry and the E-R Gravity theory are studied on noncommutative spaces. Noncommutativity is formulated in the star product formalism. The basis for the gravity theory is the infinitesimal algebra of diffeomorphisms.
Julius Wess
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Noncommutative differential geometry with higher-order derivatives [PDF]
Letters in Mathematical Physics, 1994 We build a toy model of differential geometry on the real line, which includes derivatives of the second order. Such construction is possible only within the framework of noncommutative geometry. We introduce the metric and briefly discuss two simple physical models of scalar field theory and gauge theory in this geometry.
A. Connes +3 more
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Some aspects of noncommutative differential geometry [PDF]
, 1995 We discuss in some generality aspects of noncommutative differential geometry associated with reality conditions and with differential calculi. We then describe the differential calculus based on derivations as generalization of vector fields, and we show its relations with quantum mechanics. Finally we formulate a general theory of connections in this
Dubois-Violette, Michel
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Differential operators and BV structures in noncommutative geometry [PDF]
Selecta Mathematica, 2010 Section on the representation functor added, second classical definition of diff. ops discussed, minor corrections made.
Ginzburg, Victor, Schedler, Travis
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The noncommutative geometry of the Landau Hamiltonian: differential aspects [PDF]
Journal of Physics A: Mathematical and Theoretical, 2021 Abstract In this work we study the differential aspects of the noncommutative geometry for the magnetic C *-algebra which is a 2-cocycle deformation of the group C *-algebra of
Giuseppe De Nittis, Maximiliano Sandoval
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Hopf Modules and Noncommutative Differential Geometry [PDF]
Letters in Mathematical Physics, 2006 14 Pages, one reference ...
Kaygun, Atabey, Khalkhali, Masoud
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SU(n)-connections and noncommutative differential geometry [PDF]
Journal of Geometry and Physics, 1998 We study the noncommutative differential geometry of the algebra of endomorphisms of any SU(n)-vector bundle. We show that ordinary connections on such SU(n)-vector bundle can be interpreted in a natural way as a noncommutative 1-form on this algebra for the differential calculus based on derivations.
Dubois-Violette, Michel, Masson, Thierry
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Mathematics, 2022 A self-organizing joint system classical oscillator–random environment is considered within the framework of a complex probabilistic process that satisfies a Langevin-type stochastic differential equation.
Ashot S. Gevorkyan +3 more
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Top Quark Pair-Production in Noncommutative Standard Model
Advances in High Energy Physics, 2020 The differential cross-section of the top quark pair production via the quark-antiquark annihilation subprocess in hadron collision is calculated within the noncommutative standard model. A pure NC analytical expression for the forward-backward asymmetry
M. Fisli, N. Mebarki
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