1301.1483 (J. H. C. Hernandez et al.)

Properties of transfer matrix for Ising model coupled to causal
dynamical triangulations    [PDF]

J. H. C. Hernandez, Y. Suhov, A. Yambartsev, S. Zohren

We introduce a transfer matrix formalism for the (annealed) Ising model coupled to two-dimensional causal dynamical triangulations. Using the Krein-Rutman theory of positivity preserving operators we study several properties of the emerging transfer matrix. In particular, we determine regions in the quadrant of parameters beta, mu >0 where the infinite-volume free energy converges yielding results on the convergence and asymptotic properties of the partition function and the Gibbs measure.

View original: http://arxiv.org/abs/1301.1483