The 1/N expansion of colored tensor models in arbitrary dimension
Perimeter Institute for Theoretical Physics - 31 Caroline St, Waterloo, ON, Canada
2 Laboratoire de Physique Théorique, Université Paris XI - Orsay, France, EU
Accepted: 19 July 2011
In this paper we extend the 1/N expansion introduced in Gurau R., Ann. Henri Poincaré, 12 (2011) 829, to group field theories in arbitrary dimension and prove that only graphs corresponding to spheres SD contribute to the leading order in the large-N limit.
PACS: 04.60.-m – Quantum gravity / 02.10.Yn – Matrix theory / 04.60.Pp – Loop quantum gravity, quantum geometry, spin foams
© EPLA, 2011