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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 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.
Publication status:
Published

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Publisher copy:
10.1063/1.4808101

Authors


Hernandez, JC More by this author
Yambartsev, A More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Physics
Journal:
J. Math. Phys.
Volume:
54
Issue:
6
Pages:
063301
Publication date:
2013-01-08
DOI:
ISSN:
0022-2488
URN:
uuid:86df505b-8aff-4d79-b994-287202416551
Source identifiers:
374835
Local pid:
pubs:374835
Language:
English
Keywords:

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