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

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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.

Originalsprog	Engelsk
Titel	14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings
Redaktører	Remo Ruffini, Massimo Bianchi, Remo Ruffini, Robert T. Jantzen
Antal sider	6
Udgivelsessted	Rome
Forlag	World Scientific
Publikationsdato	2018
Sider	3885-3890
ISBN (Trykt)	9813226595, 9789813226593
Status	Udgivet - 2018
Begivenhed	14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Rome, Italien Varighed: 12 jul. 2015 → 18 jul. 2015

Konference

Konference	14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
Land/Område	Italien
By	Rome
Periode	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)

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https://arxiv.org/abs/1512.05905

Citationsformater

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

Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › peer review

Napolitano, GM & Turova, TS 2018, Critical line of the Ising model on 2-dimensional CDT and its dual. i R Ruffini, M Bianchi, R Ruffini & RT Jantzen (red), 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings. World Scientific, Rome, s. 3885-3890, 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Rome, Italien, 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. red. / Remo Ruffini ; Massimo Bianchi ; Remo Ruffini ; Robert T. Jantzen. Rome : World Scientific, 2018. s. 3885-3890

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title = "Critical line of the Ising model on 2-dimensional CDT and its dual",

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.",

keywords = "Causal dynamical triangulation, Critical line, Dual, Ising model",

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year = "2018",

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AU - Napolitano, George M.

AU - Turova, Tatyana S.

PY - 2018

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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.

KW - Causal dynamical triangulation

KW - Critical line

KW - Dual

KW - Ising model

M3 - Article in proceedings

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SN - 9813226595

SN - 9789813226593

SP - 3885

EP - 3890

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

A2 - Ruffini, Remo

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

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