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Critical line of the Ising model on 2-dimensional CDT and its dual

Napolitano, George M. LU and Turova, Tatyana S. LU (2018) 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories p.3885-3890
Abstract

In this paper we study the annealed coupling of an Ising model with 2-dimensional causal dynamical triangulation model. After a short review of previous results, we prove the existence of the so-called critical line and derive its analytical properties and asymptotics. In addition, relations between the model and its dual are investigated.

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Causal dynamical triangulation, Critical line, Dual, Ising model
host publication
14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings
editor
Bianchi, Massimo ; Ruffini, Remo and Jantzen, Robert T
pages
6 pages
publisher
World Scientific Publishing
conference name
14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
conference location
Rome, Italy
conference dates
2015-07-12 - 2015-07-18
external identifiers
  • scopus:85059068711
ISBN
9789813226593
DOI
10.1142/9789813226609_0515
language
English
LU publication?
yes
id
9a312182-5af6-41bd-a084-572c8d49c585
date added to LUP
2019-01-09 14:56:24
date last changed
2022-08-26 12:50:56
@inproceedings{9a312182-5af6-41bd-a084-572c8d49c585,
  abstract     = {{<p>In this paper we study the annealed coupling of an Ising model with 2-dimensional causal dynamical triangulation model. After a short review of previous results, we prove the existence of the so-called critical line and derive its analytical properties and asymptotics. In addition, relations between the model and its dual are investigated.</p>}},
  author       = {{Napolitano, George M. and Turova, Tatyana S.}},
  booktitle    = {{14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings}},
  editor       = {{Bianchi, Massimo and Ruffini, Remo and Jantzen, Robert T}},
  isbn         = {{9789813226593}},
  keywords     = {{Causal dynamical triangulation; Critical line; Dual; Ising model}},
  language     = {{eng}},
  pages        = {{3885--3890}},
  publisher    = {{World Scientific Publishing}},
  title        = {{Critical line of the Ising model on 2-dimensional CDT and its dual}},
  url          = {{http://dx.doi.org/10.1142/9789813226609_0515}},
  doi          = {{10.1142/9789813226609_0515}},
  year         = {{2018}},
}