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Bosonic Colored Group Field Theory

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.

preprint2009arXivOpen access
Joseph Ben GelounJacques MagnenVincent Rivasseau
hep-th
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Open access3 authors1 topic
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Joseph Ben GelounJacques MagnenVincent Rivasseau

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