Wednesday, January 9, 2013

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

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

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:

No comments:

Post a Comment