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

George M. Napolitano; Tatyana S. Turova

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

Center of Epidemiology and Screening

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.

Original language	English
Title of host publication	14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings
Editors	Remo Ruffini, Massimo Bianchi, Remo Ruffini, Robert T. Jantzen
Number of pages	6
Place of Publication	Rome
Publisher	World Scientific
Publication date	2018
Pages	3885-3890
ISBN (Print)	9813226595, 9789813226593
Publication status	Published - 2018
Event	14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Rome, Italy Duration: 12 Jul 2015 → 18 Jul 2015

Conference

Conference	14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
Country/Territory	Italy
City	Rome
Period	12/07/2015 → 18/07/2015
Sponsor	et al., International Center for Relativistic Astrophysics Network (ICRANet), International Centre for Theoretical Physics (ICTP), International Union of Pure and Applied Physics (IUPAP), Istituto Nazionale di Fisica Nucleare (INFN), The Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES)

Keywords

Causal dynamical triangulation
Critical line
Dual
Ising model

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https://arxiv.org/abs/1512.05905

Cite this

Napolitano, G. M., & Turova, T. S. (2018). Critical line of the Ising model on 2-dimensional CDT and its dual. In R. Ruffini, M. Bianchi, R. Ruffini, & R. T. Jantzen (Eds.), 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings (pp. 3885-3890). World Scientific. https://arxiv.org/abs/1512.05905

Critical line of the Ising model on 2-dimensional CDT and its dual. / Napolitano, George M.; Turova, Tatyana S.

14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings. ed. / Remo Ruffini; Massimo Bianchi; Remo Ruffini; Robert T. Jantzen. Rome : World Scientific, 2018. p. 3885-3890.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Napolitano, GM & Turova, TS 2018, Critical line of the Ising model on 2-dimensional CDT and its dual. in R Ruffini, M Bianchi, R Ruffini & RT Jantzen (eds), 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings. World Scientific, Rome, pp. 3885-3890, 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Rome, Italy, 12/07/2015. <https://arxiv.org/abs/1512.05905>

Napolitano, George M. ; Turova, Tatyana S. / Critical line of the Ising model on 2-dimensional CDT and its dual. 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings. editor / Remo Ruffini ; Massimo Bianchi ; Remo Ruffini ; Robert T. Jantzen. Rome : World Scientific, 2018. pp. 3885-3890

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AB - 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.

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KW - Critical line

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KW - Ising model

M3 - Article in proceedings

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A2 - Bianchi, Massimo

A2 - Ruffini, Remo

A2 - Jantzen, Robert T.

PB - World Scientific

CY - Rome

T2 - 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories

Y2 - 12 July 2015 through 18 July 2015

ER -

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

Abstract

Conference

Keywords

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