2008/07/31 by Daniel N. Blaschke, François Gieres, Francois Gieres +7 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Commutative property #Cosmology and Gravitation Theories #Feynman diagram #Feynman graph #Gauge theory #Invariant (physics) #Massless particle #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Physics #Pure mathematics #Quantum #Quantum field theory #Quantum gravity #Quantum mechanics #Scalar field theory #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/11/074
published as JHEP 0811:074,2008 · 18 pages, v2: slightly extended version including a new section on one-loop renormalization, v3: minor revision
openalex publication_date 2008/11/24 · arxiv created 2008/11/25 · arxiv updated 2011/07/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper we elaborate on the translation-invariant renormalizable Phi4 theory in 4-dimensional non-commutative space which was recently introduced by the Orsay group. By explicitly performing Feynman graph calculations at one loop and higher orders we illustrate the mechanism which overcomes the UV/IR mixing problem and ultimately leads to a renormalizable model. The obtained results show that the IR divergences are also suppressed in the massless case, which is of importance for the gauge field theoretic generalization of the scalar field model.