Title
Bounds on the critical line via transfer matrix methods for an Ising model coupled to causal dynamical triangulations
Date Issued
03 June 2013
Access level
open access
Resource Type
journal article
Author(s)
University of São Paulo
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. © 2013 AIP Publishing LLC.
Volume
54
Issue
6
Language
English
OCDE Knowledge area
Matemáticas
Scopus EID
2-s2.0-84880124465
Source
Journal of Mathematical Physics
ISSN of the container
00222488
Sponsor(s)
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 São 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 São 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.
Sources of information:
Directorio de Producción Científica
Scopus