@article{2f62ee2aa95844708e4603cc48ea7564,
title = "Bounds on the critical line via transfer matrix methods for an Ising model coupled to causal dynamical triangulations",
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 β, μ > 0 where the infinite-volume free energy converges, yielding results on the convergence and asymptotic properties of the partition function and the Gibbs measure.",
author = "Hernandez, {J. C.} and Y. Suhov and A. Yambartsev and S. Zohren",
note = "Funding Information: This work was supported by FAPESP 2012/04372-7. J.C.H. acknowledges support by CAPES. Y.S. would like to thank the FAPESP foundation for the financial support and NUMEC, IME University of S{\~a}o Paulo, for warm hospitality. The work of A.Y. was partially supported by CNPq 308510/2010-0. The work of S.Z. was partially supported by FAPERJ 111.859/2012, CNPq 307700/2012-7, and PUC-Rio. Further, he thanks the IME at the University of S{\~a}o Paulo, as well as the Rudolf Peierls Centre for Theoretical Physics and Mansfield College, University of Oxford for kind hospitality and financial support during visits.",
year = "2013",
month = jun,
day = "3",
doi = "10.1063/1.4808101",
language = "English (US)",
volume = "54",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "6",
}