Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10722707 | Physics Letters B | 2012 | 9 Pages |
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 colored tensor models.
Related Topics
Physical Sciences and Engineering
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Authors
Valentin Bonzom, Razvan Gurau, Vincent Rivasseau,