Test functions space in noncommutative quantum field theory

DOI10.1088/1126-6708/2008/09/125zbMath1245.81071arXiv0706.1712OpenAlexW3105106404MaRDI QIDQ445521

Yu. S. Vernov, M. N. Mnatsakanova, Anca Tureanu, Masud Chaichian

Publication date: 26 August 2012

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1712

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Noncommutative geometry methods in quantum field theory (81T75)

Related Items (13)

Twisted convolution and Moyal star product of generalized functions ⋮ 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 ⋮ UV/IR duality in noncommutative quantum field theory ⋮ Towards an axiomatic formulation of noncommutative quantum field theory. II. ⋮ Inclusion theorems for the Moyal multiplier algebras of generalized Gelfand-Shilov spaces ⋮ Algebras with convergent star products and their representations in Hilbert spaces ⋮ Divergences in quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential ⋮ Noncommutative deformations of quantum field theories, locality, and causality ⋮ Spaces of type \(S\) as topological algebras under twisted convolution and star product ⋮ Toward an axiomatic formulation of noncommutative quantum field theory ⋮ Moyal multiplier algebras of the test function spaces of type S

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