SPIN AND STATISTICS ON THE GROENEWOLD–MOYAL PLANE: PAULI-FORBIDDEN LEVELS AND TRANSITIONS
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Publication:5484779
DOI10.1142/S0217751X06031764zbMath1104.81067arXivhep-th/0508002WikidataQ59673057 ScholiaQ59673057MaRDI QIDQ5484779
Sachindeo Vaidya, Gianpiero Mangano, Aleksandr Pinzul, Aiyalam P. Balachandran
Publication date: 21 August 2006
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0508002
Quantization in field theory; cohomological methods (81T70) Noncommutative geometry methods in quantum field theory (81T75) Deformation quantization, star products (53D55) Commutation relations and statistics as related to quantum mechanics (general) (81S05)
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Cites Work
- On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT
- UV-IR mixing in non-commutative plane
- Field theory on the \(q\)-deformed fuzzy sphere. II: Quantization
- General properties of non-commutative field theories
- Identical particles and quantum symmetries
- VERTEX OPERATORS AND QUANTUM HALL EFFECT
- Deforming maps for Lie group covariant creation and annihilation operators
- A gravity theory on noncommutative spaces
- Noncommutative string theory, the \(R\)-matrix, and Hopf algebras.
- Untwisting noncommutative \({\mathbb{R}}^d\) and the equivalence of quantum field theories
- Unnamed Item