Exploring Torus Universes in Causal Dynamical Triangulations

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Exploring Torus Universes in Causal Dynamical Triangulations. / Budd, Timothy George; Loll, R.

I: Physical Review D (Particles, Fields, Gravitation and Cosmology), Bind 88, Nr. 2, 024015, 07.03.2013.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Budd, TG & Loll, R 2013, 'Exploring Torus Universes in Causal Dynamical Triangulations', Physical Review D (Particles, Fields, Gravitation and Cosmology), bind 88, nr. 2, 024015. https://doi.org/10.1103/PhysRevD.88.024015

APA

Budd, T. G., & Loll, R. (2013). Exploring Torus Universes in Causal Dynamical Triangulations. Physical Review D (Particles, Fields, Gravitation and Cosmology), 88(2), [024015]. https://doi.org/10.1103/PhysRevD.88.024015

Vancouver

Budd TG, Loll R. Exploring Torus Universes in Causal Dynamical Triangulations. Physical Review D (Particles, Fields, Gravitation and Cosmology). 2013 mar. 7;88(2). 024015. https://doi.org/10.1103/PhysRevD.88.024015

Author

Budd, Timothy George ; Loll, R. / Exploring Torus Universes in Causal Dynamical Triangulations. I: Physical Review D (Particles, Fields, Gravitation and Cosmology). 2013 ; Bind 88, Nr. 2.

Bibtex

@article{9c8322ed81e347959a1a86f17243dca7,
title = "Exploring Torus Universes in Causal Dynamical Triangulations",
abstract = "Motivated by the search for new observables in nonperturbative quantum gravity, we consider Causal Dynamical Triangulations (CDT) in 2+1 dimensions with the spatial topology of a torus. This system is of particular interest, because one can study not only the global scale factor, but also global shape variables in the presence of arbitrary quantum fluctuations of the geometry. Our initial investigation focusses on the dynamics of the scale factor and uncovers a qualitatively new behaviour, which leads us to investigate a novel type of boundary conditions for the path integral. Comparing large-scale features of the emergent quantum geometry in numerical simulations with a classical minisuperspace formulation, we find partial agreement. By measuring the correlation matrix of volume fluctuations we succeed in reconstructing the effective action for the scale factor directly from the simulation data. Apart from setting the stage for the analysis of shape dynamics on the torus, the new set-up highlights the role of nontrivial boundaries and topology.",
keywords = "hep-th, gr-qc, hep-lat",
author = "Budd, {Timothy George} and R. Loll",
year = "2013",
month = mar,
day = "7",
doi = "10.1103/PhysRevD.88.024015",
language = "English",
volume = "88",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Exploring Torus Universes in Causal Dynamical Triangulations

AU - Budd, Timothy George

AU - Loll, R.

PY - 2013/3/7

Y1 - 2013/3/7

N2 - Motivated by the search for new observables in nonperturbative quantum gravity, we consider Causal Dynamical Triangulations (CDT) in 2+1 dimensions with the spatial topology of a torus. This system is of particular interest, because one can study not only the global scale factor, but also global shape variables in the presence of arbitrary quantum fluctuations of the geometry. Our initial investigation focusses on the dynamics of the scale factor and uncovers a qualitatively new behaviour, which leads us to investigate a novel type of boundary conditions for the path integral. Comparing large-scale features of the emergent quantum geometry in numerical simulations with a classical minisuperspace formulation, we find partial agreement. By measuring the correlation matrix of volume fluctuations we succeed in reconstructing the effective action for the scale factor directly from the simulation data. Apart from setting the stage for the analysis of shape dynamics on the torus, the new set-up highlights the role of nontrivial boundaries and topology.

AB - Motivated by the search for new observables in nonperturbative quantum gravity, we consider Causal Dynamical Triangulations (CDT) in 2+1 dimensions with the spatial topology of a torus. This system is of particular interest, because one can study not only the global scale factor, but also global shape variables in the presence of arbitrary quantum fluctuations of the geometry. Our initial investigation focusses on the dynamics of the scale factor and uncovers a qualitatively new behaviour, which leads us to investigate a novel type of boundary conditions for the path integral. Comparing large-scale features of the emergent quantum geometry in numerical simulations with a classical minisuperspace formulation, we find partial agreement. By measuring the correlation matrix of volume fluctuations we succeed in reconstructing the effective action for the scale factor directly from the simulation data. Apart from setting the stage for the analysis of shape dynamics on the torus, the new set-up highlights the role of nontrivial boundaries and topology.

KW - hep-th

KW - gr-qc

KW - hep-lat

U2 - 10.1103/PhysRevD.88.024015

DO - 10.1103/PhysRevD.88.024015

M3 - Journal article

VL - 88

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 2

M1 - 024015

ER -

ID: 91780255