Results 71 to 80 of about 115,374 (223)
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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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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Physical Review X, 2023 The 3D Ising transition, the most celebrated and unsolved critical phenomenon in nature, has long been conjectured to have emergent conformal symmetry, similar to the case of the 2D Ising transition.
Wei Zhu +4 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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On the Meaning of the String-Inspired Noncommutativity and its Implications [PDF]
, 2003 We propose an alternative interpretation for the meaning of noncommutativity of the string-inspired field theories and quantum mechanics. Arguments are presented to show that the noncommutativity generated in the stringy context should be assumed to be ...
A. Armoni +37 more
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Towards an axiomatic formulation of noncommutative quantum field theory. II
Nuclear Physics B, 2020 Classical results of the axiomatic quantum field theory – irreducibility of the set of field operators, Reeh and Schlieder's theorems and generalized Haag's theorem are proven in SO(1,1) invariant quantum field theory, of which an important example is ...
M. Chaichian +2 more
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European Physical Journal C: Particles and Fields, 2022 Actions for noncommutative (NC) gauge field theories can be expanded perturbatively in powers of the noncommutativity parameter $$\theta $$ θ using the Seiberg–Witten map between ordinary classical fields and their NC counterparts. The leading order term
Dušan Ɖorđević, Dragoljub Gočanin
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Towards Noncommutative Topological Quantum Field Theory: New invariants for 3-manifolds [PDF]
, 2016 We present some ideas for a possible Noncommutative Topological Quantum Field Theory (NCTQFT for short) and Noncommutative Floer Homology (NCFH for short).
I. P. Zois
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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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Intersecting Quantum Gravity with Noncommutative Geometry - a Review
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We review applications of noncommutative geometry in canonical quantum gravity. First, we show that the framework of loop quantum gravity includes natural noncommutative structures which have, hitherto, not been explored.
Johannes Aastrup +1 more
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