2012/03/31 by Sylvain Carrozza, Daniele Oriti · 1 citation
Physics and Astronomy · #hep-th #gr-qc
paper · pdf · doi:10.1007/jhep06(2012)092
published as JHEP, Volume 2012, Number 6 (2012), 92 · v2: Minor modifications to match published version
arxiv created 2012/06/28 · arxiv updated 2012/06/29
We use a reformulation of topological group field theories in 3 and 4 dimensions in terms of variables associated to vertices, in 3d, and edges, in 4d, to obtain new scaling bounds for their Feynman amplitudes. In both 3 and 4 dimensions, we obtain a bubble bound proving the suppression of singular topologies with respect to the first terms in the perturbative expansion (in the cut-off). We also prove a new, stronger jacket bound than the one currently available in the literature. We expect these results to be relevant for other tensorial field theories of this type, as well as for group field theory models for 4d quantum gravity.