The Ising model on random lattices in arbitrary dimensions

  title={The Ising model on random lattices in arbitrary dimensions},
  author={Valentin Bonzom and Razvan Gurău and V. Rivasseau},
  journal={Physics Letters B},
Abstract 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… 

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