Bosonic Colored Group Field Theory
Joseph Ben Geloun, Jacques Magnen, Vincent Rivasseau
TL;DR
This paper analyzes bosonic colored group field theories, establishing bounds on Feynman amplitudes in large spin limits and proposing a new representation for constructive analysis, with results applicable across dimensions.
Contribution
It provides the first detailed study of Feynman graph properties and bounds in bosonic colored group field theories, extending results to arbitrary dimensions and introducing a new representation.
Findings
Optimal perturbative bounds in the ultraspin limit
Generalization of results to any dimension
A new representation for constructive analysis
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.
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