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

George M. Napolitano; Tatyana S. Turova

doi:10.1142/9789813226609_0515

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

George M. Napolitano, Tatyana S. Turova

Mathematical Statistics

Institute of Mathematical Problems of Biology, Russian Academy of Sciences

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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	Massimo Bianchi, Remo Ruffini, Robert T Jantzen
Publisher	World Scientific Publishing
Pages	3885-3890
Number of pages	6
ISBN (Electronic)	9789813226593
DOIs	https://doi.org/10.1142/9789813226609_0515
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: 2015 Jul 12 → 2015 Jul 18

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	2015/07/12 → 2015/07/18

Subject classification (UKÄ)

Mathematics

Free keywords

Causal dynamical triangulation
Critical line
Dual
Ising model

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10.1142/9789813226609_0515

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Napolitano, G. M., & Turova, T. S. (2018). Critical line of the Ising model on 2-dimensional CDT and its dual. In 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 Publishing. https://doi.org/10.1142/9789813226609_0515

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 / Massimo Bianchi ; Remo Ruffini ; Robert T Jantzen. World Scientific Publishing, 2018. pp. 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",

author = "Napolitano, {George M.} and Turova, {Tatyana S.}",

year = "2018",

doi = "10.1142/9789813226609_0515",

language = "English",

pages = "3885--3890",

editor = "Massimo Bianchi and Remo Ruffini and Jantzen, {Robert T}",

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

publisher = "World Scientific Publishing",

address = "Singapore",

note = "14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories ; Conference date: 12-07-2015 Through 18-07-2015",

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Napolitano, GM & Turova, TS 2018, Critical line of the Ising model on 2-dimensional CDT and its dual. in 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 Publishing, pp. 3885-3890, 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Rome, Italy, 2015/07/12. https://doi.org/10.1142/9789813226609_0515

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. / Massimo Bianchi; Remo Ruffini; Robert T Jantzen. World Scientific Publishing, 2018. p. 3885-3890.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

TY - GEN

T1 - Critical line of the Ising model on 2-dimensional CDT and its dual

AU - Napolitano, George M.

AU - Turova, Tatyana S.

PY - 2018

Y1 - 2018

N2 - 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.

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

U2 - 10.1142/9789813226609_0515

DO - 10.1142/9789813226609_0515

M3 - Paper in conference proceeding

AN - SCOPUS:85059068711

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 - Bianchi, Massimo

A2 - Ruffini, Remo

A2 - Jantzen, Robert T

PB - World Scientific Publishing

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 -

Napolitano GM, Turova TS. Critical line of the Ising model on 2-dimensional CDT and its dual. In Bianchi M, Ruffini R, Jantzen RT, editors, 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings. World Scientific Publishing. 2018. p. 3885-3890 doi: 10.1142/9789813226609_0515

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

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