The Ising model on random lattices in arbitrary dimensions

Valentin Bonzom (1) , Razvan Gurau (1) , Vincent Rivasseau (2)

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

We study analytically the Ising model coupled to random lattices in dimension three and higher. The family of random lattices we use is generated by the large N limit of a colored tensor model generalizing the two-matrix model for Ising spins on random surfaces. We show that, in the continuum limit, the spin system does not exhibit a phase transition at finite temperature, in agreement with numerical investigations. Furthermore we outline a general method to study critical behavior in colored tensor models

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Valentin Bonzom, Razvan Gurau, Vincent Rivasseau. The Ising model on random lattices in arbitrary dimensions. Physics Letters B, 2012, 711 (1), pp.88D96. ⟨10.1016/j.physletb.2012.03.054⟩. ⟨hal-00816593⟩