- 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
- Publisher copy:
- 10.1063/1.4808101
-
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- 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
- Copyright date:
- 2013
- Notes:
-
28 pages, 4 figures, minor changes in main text, title changed, as
published
Journal article
Bounds on the critical line via transfer matrix methods for an Ising model coupled to causal dynamical triangulations
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