Noncommutative Yang-Mills from equivalence of star products

2000/01/31 by Branislav Jurco, B. Jurčo, Peter Schupp · 120 citations
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Chemistry #Equivalence (formal languages) #Gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Physics #Pure mathematics #Star (game theory) #Star product #Transformation (genetics) #Yang–Mills existence and mass gap #hep-th

paper · pdf · doi:10.1007/s100520000380

published in The European Physical Journal C 14(2), 367-370 (Springer Science+Business Media) · 7 pages, v3: references and some explicit expressions added

arxiv created 2000/02/25 · openalex publication_date 2000/05/01 · arxiv updated 2011/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

It is shown that the transformation between ordinary and noncommutative Yang-Mills theory as formulated by Seiberg and Witten is due to the equivalence of certain star products on the D-brane world-volume.

Citations

• Deformation Quantization of Poisson Manifolds
• A Path Integral Approach¶to the Kontsevich Quantization Formula
• Gauge theory on noncommutative spaces

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• Topology change of spacetime and resolution of spacetime singularity in emergent gravity
• T-duality with H-flux: Non-commutativity, T-folds and G×G structure
• A remark on the deformation of GNS representations of *-algebras