Bosonic Colored Group Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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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.

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