Groenewold-Moyal product, α*-cohomology, and classification of translation-invariant non-commutative structures

DOI10.1063/1.4809939zbMath1286.81158arXiv1210.1004OpenAlexW2964310027MaRDI QIDQ5407612

Amir Abbass Varshovi

Publication date: 7 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1004

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Deformation quantization, star products (53D55) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (3)

⋆-cohomology, third type Chern character and anomalies in general translation-invariant noncommutative Yang–Mills ⋮ \(\alpha^\ast\)-cohomology, and classification of translation-invariant non-commutative quantum field theories ⋮ Boundaries in the Moyal plane

Cites Work

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• Deformation quantization of Poisson manifolds
• Consistent anomalies in translation-invariant noncommutative gauge theories
• ANOMALY AND NONPLANAR DIAGRAMS IN NONCOMMUTATIVE GAUGE THEORIES
• On the Quantum Correction For Thermodynamic Equilibrium
• A unifying perspective on the Moyal and Voros products and their physical meanings

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