Numerical simulation of quantum gravity

Takayuki Hikichi; Yasusada Nambu; Hiromi Saida

Numerical simulation of quantum gravity

Takayuki Hikichi, Yasusada Nambu, Hiromi Saida

Research output: Contribution to conference › Paper › peer-review

Abstract

We performed a nonperturbative sum over geometries in (2+1)-dimensional causal dynamical triangulation through the help of Monte Carlo simulations, where the spacial topologies are assumed to be S² for simplicity. We also studied a case where the spacial topologies are T². The numerical results imply these emerging quantum universes can be described by solutions of the Einstein equation at macroscopic scales. We also found that spectral dimensions of these spacetime are roughly 3.

Original language	English
Pages	202-205
Number of pages	4
Publication status	Published - 2011
Externally published	Yes
Event	21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011 - Sendai, Japan Duration: Sept 26 2011 → Sept 29 2011

Conference

Conference	21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011
Country/Territory	Japan
City	Sendai
Period	9/26/11 → 9/29/11

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

Cite this

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title = "Numerical simulation of quantum gravity",

abstract = "We performed a nonperturbative sum over geometries in (2+1)-dimensional causal dynamical triangulation through the help of Monte Carlo simulations, where the spacial topologies are assumed to be S2 for simplicity. We also studied a case where the spacial topologies are T2. The numerical results imply these emerging quantum universes can be described by solutions of the Einstein equation at macroscopic scales. We also found that spectral dimensions of these spacetime are roughly 3.",

author = "Takayuki Hikichi and Yasusada Nambu and Hiromi Saida",

year = "2011",

language = "English",

pages = "202--205",

note = "21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011 ; Conference date: 26-09-2011 Through 29-09-2011",

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TY - CONF

T1 - Numerical simulation of quantum gravity

AU - Hikichi, Takayuki

AU - Nambu, Yasusada

AU - Saida, Hiromi

PY - 2011

Y1 - 2011

N2 - We performed a nonperturbative sum over geometries in (2+1)-dimensional causal dynamical triangulation through the help of Monte Carlo simulations, where the spacial topologies are assumed to be S2 for simplicity. We also studied a case where the spacial topologies are T2. The numerical results imply these emerging quantum universes can be described by solutions of the Einstein equation at macroscopic scales. We also found that spectral dimensions of these spacetime are roughly 3.

AB - We performed a nonperturbative sum over geometries in (2+1)-dimensional causal dynamical triangulation through the help of Monte Carlo simulations, where the spacial topologies are assumed to be S2 for simplicity. We also studied a case where the spacial topologies are T2. The numerical results imply these emerging quantum universes can be described by solutions of the Einstein equation at macroscopic scales. We also found that spectral dimensions of these spacetime are roughly 3.

UR - http://www.scopus.com/inward/record.url?scp=84887447707&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887447707&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84887447707

SP - 202

EP - 205

T2 - 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011

Y2 - 26 September 2011 through 29 September 2011

ER -

Numerical simulation of quantum gravity

Abstract

Conference

All Science Journal Classification (ASJC) codes

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Cite this