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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Potts model coupled to random causal triangulations

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Author(s):
Cerda Hernandez, J.
Total Authors: 1
Document type: Journal article
Source: Journal of Mathematical Physics; v. 58, n. 12 DEC 2017.
Web of Science Citations: 0
Abstract

In this work, we study the annealed Potts model coupled to two-dimensional causal triangulations (CTs). Employing duality of graphs, weprove that in the thermodynamic limit, the Potts model coupled to causal triangulations with parameters beta and mu is equivalent to a Potts model coupled to dual causal triangulations at the dual parameters beta{*} = log(1 + q/(e(beta) - 1)) and mu{*} = mu - 3/2log(e(beta) - 1) + log q. This duality relation follows from the Fermi-Kurie representation for the Potts model. Employing our duality relation, we determine a region where the critical curve for the annealed model can be located. We also provide lower and upper bounds for the infinite-volume free energy. Published by AIP Publishing. (AU)

FAPESP's process: 14/18810-1 - Percolation and phase transition of spin systems on Lorentzian random graphs
Grantee:José Javier Cerda Hernández
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 13/06179-2 - Application of transfer matrix method to causal triangulations models
Grantee:José Javier Cerda Hernández
Support type: Scholarships in Brazil - Doctorate (Direct)
FAPESP's process: 12/04372-7 - Probabilistic aspects of causal dynamical triangulations
Grantee:Anatoli Iambartsev
Support type: Regular Research Grants