2003/05/31 by Xavier Calmet, Michael Wohlgenannt · 4 citations
Mathematics · Physics and Astronomy · #Antisymmetric relation #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Epistemology #Field (mathematics) #Mathematical physics #Mathematics #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Order (exchange) #Philosophy #Physics #Pure mathematics #Quantum mechanics #Simple (philosophy) #Space (punctuation) #Space time #Spacetime #Theoretical physics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.68.025016
published as Phys.Rev. D68 (2003) 025016 · 22 pages, 1 figure
arxiv created 2003/06/25 · openalex publication_date 2003/07/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider Yang-Mills theories formulated on a noncommutative space-time described by a space-time dependent antisymmetric field \ensuremathθ^\ensuremathμ\ensuremathν(x). Using Seiberg-Witten map techniques, we derive the leading order operators for the effective field theories that take into account the effects of such a background field. These effective theories are valid for a weakly noncommutative space-time. It is remarkable to note that already simple models for \ensuremathθ^\ensuremathμ\ensuremathν(x) can help to loosen the bounds on space-time noncommutativity coming from low energy physics. Noncommutative geometry formulated in our framework is a potential candidate for new physics beyond the standard model.