Trees and spatial topology change in CDT

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Standard

Trees and spatial topology change in CDT. / Ambjorn, Jan; Budd, Timothy George.

I: Journal of Physics A: Mathematical and Theoretical, Bind 46, Nr. 31, 19.07.2013.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Ambjorn, J & Budd, TG 2013, 'Trees and spatial topology change in CDT', Journal of Physics A: Mathematical and Theoretical, bind 46, nr. 31. https://doi.org/10.1088/1751-8113/46/31/315201

APA

Ambjorn, J., & Budd, T. G. (2013). Trees and spatial topology change in CDT. Journal of Physics A: Mathematical and Theoretical, 46(31). https://doi.org/10.1088/1751-8113/46/31/315201

Vancouver

Ambjorn J, Budd TG. Trees and spatial topology change in CDT. Journal of Physics A: Mathematical and Theoretical. 2013 jul. 19;46(31). https://doi.org/10.1088/1751-8113/46/31/315201

Author

Ambjorn, Jan ; Budd, Timothy George. / Trees and spatial topology change in CDT. I: Journal of Physics A: Mathematical and Theoretical. 2013 ; Bind 46, Nr. 31.

Bibtex

@article{545f0542924548ebb5d3083a7d510782,
title = "Trees and spatial topology change in CDT",
abstract = "Generalized causal dynamical triangulations (generalized CDT) is a model of two-dimensional quantum gravity in which a limited number of spatial topology changes is allowed to occur. We solve the model at the discretized level using bijections between quadrangulations and trees. In the continuum limit (scaling limit) the amplitudes are shown to agree with known formulas and explicit expressions are obtained for loop propagators and two-point functions. It is shown that from a combinatorial point of view generalized CDT can be viewed as the scaling limit of planar maps with a finite number of faces and we determine the distance function on this ensemble of planar maps. Finally, the relation with planar maps is used to illuminate a mysterious identity of certain continuum cylinder amplitudes.",
keywords = "hep-th, gr-qc, math-ph, math.CO, math.MP",
author = "Jan Ambjorn and Budd, {Timothy George}",
year = "2013",
month = jul,
day = "19",
doi = "10.1088/1751-8113/46/31/315201",
language = "English",
volume = "46",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "Institute of Physics Publishing Ltd",
number = "31",

}

RIS

TY - JOUR

T1 - Trees and spatial topology change in CDT

AU - Ambjorn, Jan

AU - Budd, Timothy George

PY - 2013/7/19

Y1 - 2013/7/19

N2 - Generalized causal dynamical triangulations (generalized CDT) is a model of two-dimensional quantum gravity in which a limited number of spatial topology changes is allowed to occur. We solve the model at the discretized level using bijections between quadrangulations and trees. In the continuum limit (scaling limit) the amplitudes are shown to agree with known formulas and explicit expressions are obtained for loop propagators and two-point functions. It is shown that from a combinatorial point of view generalized CDT can be viewed as the scaling limit of planar maps with a finite number of faces and we determine the distance function on this ensemble of planar maps. Finally, the relation with planar maps is used to illuminate a mysterious identity of certain continuum cylinder amplitudes.

AB - Generalized causal dynamical triangulations (generalized CDT) is a model of two-dimensional quantum gravity in which a limited number of spatial topology changes is allowed to occur. We solve the model at the discretized level using bijections between quadrangulations and trees. In the continuum limit (scaling limit) the amplitudes are shown to agree with known formulas and explicit expressions are obtained for loop propagators and two-point functions. It is shown that from a combinatorial point of view generalized CDT can be viewed as the scaling limit of planar maps with a finite number of faces and we determine the distance function on this ensemble of planar maps. Finally, the relation with planar maps is used to illuminate a mysterious identity of certain continuum cylinder amplitudes.

KW - hep-th

KW - gr-qc

KW - math-ph

KW - math.CO

KW - math.MP

U2 - 10.1088/1751-8113/46/31/315201

DO - 10.1088/1751-8113/46/31/315201

M3 - Journal article

VL - 46

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 31

ER -

ID: 91779961