Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-04-27
Phys. Rev. D 85, 044004 (2012)
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, 17 figures. Few typos fixed. Minor corrections in figure 6 and theorem 2
Scientific paper
10.1103/PhysRevD.85.044004
Based on recent work on simplicial diffeomorphisms in colored group field theories, we develop a representation of the colored Boulatov model, in which the GFT fields depend on variables associated to vertices of the associated simplicial complex, as opposed to edges. On top of simplifying the action of diffeomorphisms, the main advantage of this representation is that the GFT Feynman graphs have a different stranded structure, which allows a direct identification of subgraphs associated to bubbles, and their evaluation is simplified drastically. As a first important application of this formulation, we derive new scaling bounds for the regularized amplitudes, organized in terms of the genera of the bubbles, and show how the pseudo-manifolds configurations appearing in the perturbative expansion are suppressed as compared to manifolds. Moreover, these bounds are proved to be optimal.
Carrozza Sylvain
Oriti Daniele
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