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arXiv · 1301.1483

Bounds on the critical line via transfer matrix methods for an Ising model coupled to causal dynamical triangulations

J. C. Hernandez·Y. Suhov·A. Yambartsev·S. Zohren
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Abstract

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.

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J. C. Hernandez, Y. Suhov, A. Yambartsev, S. Zohren. 2013-01-08. Bounds on the critical line via transfer matrix methods for an Ising model coupled to causal dynamical triangulations. https://doi.org/10.1063/1.4808101

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