Results 61 to 70 of about 117,966 (253)
Weak equivalence principle in quantum space
Frontiers in Astronomy and Space Sciences, 2022 Owing to the development of String Theory and Quantum Gravity, studies of quantized spaces described by deformed commutation relations for operators of coordinates and operators of momenta have received much attention.
Kh. P. Gnatenko, V. M. Tkachuk
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Noncommutative field theory description of quantum Hall Skyrmions [PDF]
Physical Review D, 2001 23 pages, Revtex, more references added ...
Lee, Bum-Hoon +2 more
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Microcausality of spin-induced noncommutative theories
, 2012 In this brief report, the microcausility of quantum field theory on spin-induced noncom- mutative spacetime is discussed. It is found that for spacelike seperation the microcausality is not obeyed by the theory generally. It means that Lorentz covariance
Douglas M. R. +3 more
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Noncommutative Spacetime Symmetries from Covariant Quantum Mechanics
Advances in High Energy Physics, 2017 In the last decades, noncommutative spacetimes and their deformed relativistic symmetries have usually been studied in the context of field theory, replacing the ordinary Minkowski background with an algebra of noncommutative coordinates.
Alessandro Moia
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The Geometry of Noncommutative Spacetimes
Universe, 2017 We review the concept of ‘noncommutative spacetime’ approached from an operational stand-point and explain how to endow it with suitable geometrical structures. The latter involves i.a.
Michał Eckstein
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Quaternionic quantum mechanics for N = 1, 2, 4 supersymmetry
Beni-Suef University Journal of Basic and Applied Sciences, 2022 Background Quaternions have emerged as powerful tools in higher-dimensional quantum mechanics as they provide homogeneous four-dimensional structure in quantum field theories, offer compact representations, and incorporate spin naturally.
Seema Rawat, A. S. Rawat
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On Quantum Field Theory with Nonzero Minimal Uncertainties in Positions and Momenta [PDF]
, 1996 We continue studies on quantum field theories on noncommutative geometric spaces, focusing on classes of noncommutative geometries which imply ultraviolet and infrared modifications in the form of nonzero minimal uncertainties in positions and momenta ...
Achim Kempf +6 more
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Dirac Operators on Noncommutative Curved Spacetimes
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We study the notion of a Dirac operator in the framework of twist-deformed noncommutative geometry. We provide a number of well-motivated candidate constructions and propose a minimal set of axioms that a noncommutative Dirac operator should satisfy ...
Alexander Schenkel +1 more
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Petrov noncommutative topological quantum field theory
, 2010 This paper gives a definition of category NC-Einst of noncommutative Einstein spaces, and a Petrov noncommutative topological quantum field theory (NC TQFT) is constructed. We suggest extensions of these ideas which may be useful to further NC TQFT and apply it in higher dimensions.
S. S. Moskaliuk, Michael Wohlgenannt
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T-Minkowski noncommutative spacetimes II: classical field theory [PDF]
Progress of Theoretical and Experimental PhysicsThis paper is the second part of a series that develops the mathematical framework necessary for studying field theories on “T-Minkowski” noncommutative spacetimes. These spacetimes constitute a class of noncommutative geometries, introduced in Part I,
F. Mercati
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