Geometrical evaluation of star products
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Publication:2738102
DOI10.1063/1.533395zbMath0977.81050arXivhep-th/9912238OpenAlexW3105773307MaRDI QIDQ2738102
Publication date: 30 August 2001
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9912238
Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Deformation quantization, star products (53D55)
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Noncommutative field theories on \( \mathbb{R}_{\lambda}^3 \): towards UV/IR mixing freedom ⋮ Classical and quantum systems: alternative Hamiltonian descriptions ⋮ Representations of fermionic star product algebras and the projectively flat connection ⋮ Star product and invariant integration for Lie type noncommutative spacetimes ⋮ DEFORMATION QUANTIZATION: QUANTUM MECHANICS LIVES AND WORKS IN PHASE-SPACE ⋮ Star products, duality and double Lie algebras ⋮ GAUGE THEORIES ON OPEN LIE ALGEBRA NONCOMMUTATIVE SPACES ⋮ SCALE TRANSFORMATIONS ON THE NONCOMMUTATIVE PLANE AND THE SEIBERG–WITTEN MAP ⋮ Weyl-Wigner-Moyal formalism for Fermi classical systems ⋮ Deformation quantization of fermi fields ⋮ Noncommutative gauge theories from deformation quantization. ⋮ ON FINITE NONCOMMUTATIVITY IN QUANTUM FIELD THEORY ⋮ \(W_n^{(\kappa)}\) algebra associated with the Moyal KdV hierarchy ⋮ Cliffordization, spin, and fermionic star products ⋮ TWISTED QUANTUM FIELDS ON MOYAL AND WICK–VOROS PLANES ARE INEQUIVALENT ⋮ Deformation quantization for systems with fermions
Cites Work
- Trigonometric structure constants for new infinite-dimensional algebras
- Infinite-dimensional algebras, sine brackets, and SU(\(\infty)\)
- Quantization and the uniqueness of invariant structures
- Particle spin dynamics as the Grassmann variant of classical mechanics
- Deformation theory and quantization. I: Deformations of symplectic structures
- String theory and noncommutative geometry
- On the principles of elementary quantum mechanics
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