Noncommutativity and θ-locality
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Publication:5431379
DOI10.1088/1751-8113/40/48/020zbMath1126.81051arXiv0708.1151OpenAlexW1773827100MaRDI QIDQ5431379
Publication date: 7 December 2007
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.1151
Quantization in field theory; cohomological methods (81T70) Axiomatic quantum field theory; operator algebras (81T05) Noncommutative geometry methods in quantum field theory (81T75) Deformation quantization, star products (53D55)
Related Items (13)
Twisted convolution and Moyal star product of generalized functions ⋮ Generalized Weyl correspondence and Moyal multiplier algebras ⋮ Spaces of type \(S\) and deformation quantization ⋮ Characterization of the Moyal multiplier algebras for the generalized spaces of type \(S\) ⋮ Duality covariant quantum field theory on noncommutative Minkowski space ⋮ Inclusion theorems for the Moyal multiplier algebras of generalized Gelfand-Shilov spaces ⋮ Algebras with convergent star products and their representations in Hilbert spaces ⋮ Noncommutative deformations of quantum field theories, locality, and causality ⋮ Spaces of type \(S\) as topological algebras under twisted convolution and star product ⋮ Reconstruction in quantum field theory with a fundamental length ⋮ Toward an axiomatic formulation of noncommutative quantum field theory ⋮ Moyal multiplier algebras of the test function spaces of type S ⋮ Star products on symplectic vector spaces: convergence, representations, and extensions
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