Wednesday, January 9, 2013

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

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

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