Results 91 to 100 of about 32,076 (212)
Examples of noncommutative manifolds: complex tori and spherical manifolds
, 2007 We survey some aspects of the theory of noncommutative manifolds focusing on the noncommutative analogs of two-dimensional tori and low-dimensional spheres. We are particularly interested in those aspects of the theory that link the differential geometry
Plazas, Jorge
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Functorial constructions related to double Poisson vertex algebras
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra.
Tristan Bozec +2 more
wiley +1 more source
The Gribov problem in Noncommutative gauge theory
, 2018 After reviewing Gribov ambiguity of non-Abelian gauge theories, a phenomenon related to the topology of the bundle of gauge connections, we show that there is a similar feature for noncommutative QED over Moyal space, despite the structure group being ...
Kurkov, Maxim, Vitale, Patrizia
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COMPLEX GRAVITY AND NONCOMMUTATIVE GEOMETRY [PDF]
International Journal of Modern Physics A, 2001 The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates to be noncommutative. An immediate consequence of this is that all fields get complexified. By applying this idea to gravity one discovers that the metric becomes complex. Complex gravity is constructed by gauging the symmetry U(1,
openaire +3 more sources
Path Integral Spin Dynamics for Quantum Paramagnets
Advanced Physics Research, Volume 4, Issue 8, August 2025.The study has developed a path integral method, which is a classical approach, combined with atomistic spin dynamics simulations to calculate thermal quantum expectation values. This method can handle Hamiltonians with non‐linear terms, which are important for describing uniaxial anisotropies and mechanical constraints.
Thomas Nussle +2 more
wiley +1 more source
Dirac Theory in Noncommutative Phase Spaces
PhysicsBased on the position and momentum of noncommutative relations with a noncanonical map, we study the Dirac equation and analyze its parity and time reversal symmetries in a noncommutative phase space.
Shi-Dong Liang
doaj +1 more source
Noncommutative Induced Gauge Theories on Moyal Spaces
, 2007 Noncommutative field theories on Moyal spaces can be conveniently handled within a framework of noncommutative geometry. Several renormalisable matter field theories that are now identified are briefly reviewed.
Chepelev I +21 more
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Heisenberg‐smooth operators from the phase‐space perspective
Mathematische Nachrichten, Volume 298, Issue 8, Page 2845-2866, August 2025.Abstract Cordes' characterization of Heisenberg‐smooth operators bridges a gap between the theory of pseudo‐differential operators and quantum harmonic analysis (QHA). We give a new proof of the result by using the phase‐space formalism of QHA. Our argument is flexible enough to generalize Cordes' result in several directions: (1) we can admit general ...
Robert Fulsche, Lauritz van Luijk
wiley +1 more source
Zagadnienia Filozoficzne w Nauce, 2006 After briefly reviewing classical and quantum aspects of probability, basic concepts of the noncommutative calculus of probability (called also free calculus of probability) and its possible application to model the fundamental level of physics are ...
Michał Heller
doaj
Forces from noncommutative geometry [PDF]
, 2001 Einstein derived general relativity from Riemannian geometry. Connes extends this derivation to noncommutative geometry and obtains electro-magnetic, weak and strong forces.
Schucker, T.
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