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

Abstract

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.

6 pages, Proceedings of the 14th Marcel Grossmann Meeting (Rome, July 12-18, 2015)