The 1/N expansion of colored tensor models in arbitrary dimension

Razvan Gurau (1) , Vincent Rivasseau (2)

1 Perimeter Institute for Theoretical Physics [Waterloo]
2 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]

In this paper we extend the 1/N expansion introduced in [1] to group field theories in arbitrary dimension and prove that only graphs corresponding to spheres S^D contribute to the leading order in the large N limit.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]

Razvan Gurau, Vincent Rivasseau. The 1/N expansion of colored tensor models in arbitrary dimension. EPL - Europhysics Letters, 2011, 95, pp.50004. ⟨10.1209/0295-5075/95/50004⟩. ⟨hal-00594189⟩