1999/03/23 by Thomas Krajewski, T. Krajewski, Raimar Wulkenhaar +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1142/s0217751x00000495
published as Int.J.Mod.Phys. A15 (2000) 1011-1030 · Latex 2e, 19 pages 5 eps figures, typos corrected and 1 reference added
arxiv created 1999/03/23 · openalex publication_date 2000/03/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using standard field theoretical techniques, we survey pure Yang–Mills theory on the noncommutative torus, including Feynman rules and BRS symmetry. Although in general free of any infrared singularity, the theory is ultraviolet divergent. Because of an invariant regularization scheme, this theory turns out to be renormalizable and the detailed computation of the one-loop counterterms is given, leading to an asymptotically free theory. Besides, it turns out that nonplanar diagrams are overall convergent when θ is irrational.