Noncommutative \( {{\mathbb{R}}}^d \) via closed star product
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Publication:2635677
DOI10.1007/JHEP08(2015)024zbMath1388.81419arXiv1502.06544OpenAlexW3126139269MaRDI QIDQ2635677
Patrizia Vitale, Vladislav G. Kupriyanov
Publication date: 31 May 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.06544
Quantum field theory on curved space or space-time backgrounds (81T20) Methods of noncommutative geometry in general relativity (83C65)
Related Items (21)
Deformed quantum phase spaces, realizations, star products and twists ⋮ Symplectic embeddings, homotopy algebras and almost Poisson gauge symmetry ⋮ Recurrence relations for symplectic realization of (quasi)-Poisson structures ⋮ Closed star product on noncommutative \(\mathbb R^{3}\) and scalar field dynamics ⋮ Weak associativity and deformation quantization ⋮ Nonassociative Weyl star products ⋮ ‐Bootstrap Approach to Non‐Commutative Gauge Theories ⋮ Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of \(\varrho\)-Minkowski ⋮ Field theories on \(\rho\)-deformed Minkowski space-time ⋮ Gauge theories on quantum spaces ⋮ \(G_{2}\)-structures and quantization of non-geometric M-theory backgrounds ⋮ Involutive representations of coordinate algebras and quantum spaces ⋮ A novel approach to non-commutative gauge theory ⋮ Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces ⋮ Poisson gauge theory ⋮ The Gribov problem in noncommutative gauge theory ⋮ Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutative plane ⋮ Field theory with coordinate dependent noncommutativity ⋮ Doubling, T-duality and generalized geometry: a simple model ⋮ T-dualities and doubled geometry of the principal chiral model ⋮ Four-dimensional noncommutative deformations of U(1) gauge theory and \(L_\infty\) bootstrap.
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