2004/12/31 by Victor Gayral, V. Gayral, J. M. Gracia-Bondia +2 · 31 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Economics #Effective action #Field (mathematics) #Field theory (psychology) #Gauge theory #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Order (exchange) #Philosophy #Physics #Pure mathematics #Quantum #Quantum field theory #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar field theory #Space (punctuation) #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.physletb.2005.02.011
published in Physics Letters B 610(1-2), 141-146 (Elsevier BV) · 1+7 pages. v2: two references added
arxiv created 2005/02/03 · openalex publication_date 2005/02/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is argued that the one-loop effective action for space-like noncommutative (i) λφ4 scalar field theory and (ii) U(1) gauge theory does not exist. This indicates that such theories are not renormalizable already at one-loop order and suggests supersymmetrization and reinvestigating other types of noncommutativity.