Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-09
Eur.Phys.J.C70:1119-1130,2010
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
10.1140/epjc/s10052-010-1487-z
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.
Geloun Joseph Ben
Magnen Jacques
Rivasseau Vincent
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