Bubbles and jackets: new scaling bounds in topological group field theories

Details Bubbles and jackets: new scaling bounds in topological group field theories Bubbles and jackets: new scaling bounds in topological group field theories

2012-03-22

arxiv.org/abs/1203.5082v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

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.

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