TWISTED QUANTUM FIELDS ON MOYAL AND WICK–VOROS PLANES ARE INEQUIVALENT

DOI10.1142/S0217732309031156zbMath1176.81127arXiv0902.1247OpenAlexW3104510015MaRDI QIDQ3649561

Aiyalam P. Balachandran, Mario Martone

Publication date: 4 December 2009

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1247

zbMATH Keywords

noncommutative geometryMoyal planeVoros plane

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Methods of quantum field theory in general relativity and gravitational theory (83C47) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items (8)

Noncommutative field theories on \( \mathbb{R}_{\lambda}^3 \): towards UV/IR mixing freedom ⋮ THERMOFIELD DYNAMICS FOR TWISTED POINCARÉ-INVARIANT FIELD THEORIES: WICK THEOREM AND S-MATRIX ⋮ Quantum geons and noncommutative spacetimes ⋮ Covariant quantum fields on noncommutative spacetimes ⋮ Towards an axiomatic formulation of noncommutative quantum field theory. II. ⋮ Algebras with convergent star products and their representations in Hilbert spaces ⋮ Noncommutative deformations of quantum field theories, locality, and causality ⋮ Boundaries in the Moyal plane

Cites Work

• On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT
• UV-IR mixing in non-commutative plane
• Geometrical evaluation of star products
• SPIN AND STATISTICS ON THE GROENEWOLD–MOYAL PLANE: PAULI-FORBIDDEN LEVELS AND TRANSITIONS
• Generalized coherent state approach to star products and applications to the fuzzy sphere
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