Bosonic Colored Group Field Theory
High Energy Physics - Theory
2010-12-15 v1
Abstract
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.
Cite
@article{arxiv.0911.1719,
title = {Bosonic Colored Group Field Theory},
author = {Joseph Ben Geloun and Jacques Magnen and Vincent Rivasseau},
journal= {arXiv preprint arXiv:0911.1719},
year = {2010}
}