2009/11/09 by Joseph Ben Geloun, J. Le Magnen, Jacques Magnen +1
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Character (mathematics) #Colored #Computer science #Constructive #Cosmology and Gravitation Theories #Dimension (graph theory) #Feynman diagram #Field (mathematics) #Field theory (psychology) #Geometry #Group (periodic table) #Group field theory #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum field theory #Quantum gravity #Quantum mechanics #Theoretical physics #Thermal quantum field theory #hep-th
paper · pdf · doi:10.1140/epjc/s10052-010-1487-z
published as Eur.Phys.J.C70:1119-1130,2010
arxiv created 2009/11/09 · openalex publication_date 2010/11/18 · arxiv updated 2010/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Bosonic colored group field theory is considered. Focusing first on dimension four, namely the colored Ooguri group field model, the main properties of Feynman graphs are studied. This leads to a theorem on optimal perturbative bounds of Feynman amplitudes in the "ultraspin" (large spin) limit. The results are generalized in any dimension. Finally integrating out two colors we write a new representation which could be useful for the constructive analysis of this type of models.