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Critical line of the Ising model on 2-dimensional CDT and its dual

In this paper we study the annealed coupling of an Ising model with 2-dimensional causal dynamical triangulation model. After a short review of previous results, we prove the existence of the so-called critical line and derive its analytical properties and asymptotics. In addition, relations between the model and its dual are investigated.

preprint2015arXivOpen access
George M. NapolitanoTatyana S. Turova
cond-mat.stat-mechmath-phmath.MPhep-th
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George M. NapolitanoTatyana S. Turova

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