Bosonic Colored Group Field Theory

Joseph Ben Geloun (1, 2, 3) , Jacques Magnen (4) , Vincent Rivasseau (2)

1 ICMPA-UNESCO - International Chair of Mathematical Physics and Applications
2 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]
3 Département de Mathématiques et Informatiques
4 CPHT - Centre de Physique Théorique [Palaiseau]

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Joseph Ben Geloun, Jacques Magnen, Vincent Rivasseau. Bosonic Colored Group Field Theory. European Physical Journal C: Particles and Fields, 2010, 70 (4), pp.1119-1130. ⟨10.1140/epjc/s10052-010-1487-z⟩. ⟨hal-00432432⟩