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.

arXiv comment6 pages, Proceedings of the 14th Marcel Grossmann Meeting (Rome, July 12-18, 2015)