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

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons41482

Carrozza,  Sylvain
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons20698

Oriti,  Daniele
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Volltexte (frei zugänglich)

1203.5082
(Preprint), 406KB

JHEP2012_092.pdf
(beliebiger Volltext), 646KB

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Zitation

Carrozza, S., & Oriti, D. (2012). Bubbles and jackets: new scaling bounds in topological group field theories. Journal of high energy physics: JHEP, 2012(6): 092. doi:10.1007/JHEP06(2012)092.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-8218-4
Zusammenfassung
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.