1999/03/10 by Carmelo P. Martín, C. P. Martin, D. Sanchez-Ruiz +1 · 6 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Combinatorics #Computer science #Coupling constant #Function (biology) #Geometry #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Multiplicative function #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Product (mathematics) #Quantum mechanics #Renormalization #Space (punctuation) #hep-th
paper · pdf · doi:10.1103/physrevlett.83.476
published as Phys.Rev.Lett. 83 (1999) 476-479 · 8 pages. A missing complex "i" is included in the field strength and the divergent contributions corrected accordingly. As a result the model turns out to be asymptotically free
arxiv created 1999/03/10 · openalex publication_date 1999/07/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show that U(1) Yang-Mills theory on noncommutative R4 can be renormalized at the one-loop level by multiplicative dimensional renormalization of the coupling constant and fields of the theory. We compute the beta function of the theory and conclude that the theory is asymptotically free. We also show that the Weyl-Moyal matrix defining the deformed product over the space of functions on R4 is not renormalized at the one-loop level.