The Ising Model on the Random Planar Causal Triangulation: Bounds on the Critical Line and Magnetization Properties
Research output: Contribution to journal › Article
We investigate a Gibbs (annealed) probability measure defined on Ising spin configurations on causal triangulations of the plane. We study the region where such measure can be defined and provide bounds on the boundary of this region (critical line). We prove that for any finite random triangulation the magnetization of the central spin is sensitive to the boundary conditions. Furthermore, we show that in the infinite volume limit, the magnetization of the central spin vanishes for values of the temperature high enough.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Journal of Statistical Physics|
|Publication status||Published - 2015|
The article was published First Online: 21 December 2015