The toroidal Hausdorff dimension of 2d Euclidean quantum gravity

Jan Ambjorn; Timothy George Budd

doi:10.1016/j.physletb.2013.06.009

The toroidal Hausdorff dimension of 2d Euclidean quantum gravity

Jan Ambjorn, Timothy George Budd

Teoretisk højenergi, astropartikel og gravitationel fysik

5 Citationer (Scopus)

Abstract

The lengths of shortest non-contractible loops are studied numerically in 2d Euclidean quantum gravity on a torus coupled to conformal field theories with central charge less than one. We find that the distribution of these geodesic lengths displays a scaling in agreement with a Hausdorff dimension given by the formula of Y. Watabiki.

Originalsprog	Udefineret/Ukendt
Tidsskrift	Physics Letters B
Vol/bind	724
Udgave nummer	4-5
Sider (fra-til)	328-332
ISSN	0370-2693
DOI	https://doi.org/10.1016/j.physletb.2013.06.009
Status	Udgivet - 23 jul. 2013

Adgang til dokumentet

10.1016/j.physletb.2013.06.009

Citationsformater

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title = "The toroidal Hausdorff dimension of 2d Euclidean quantum gravity",

abstract = "The lengths of shortest non-contractible loops are studied numerically in 2d Euclidean quantum gravity on a torus coupled to conformal field theories with central charge less than one. We find that the distribution of these geodesic lengths displays a scaling in agreement with a Hausdorff dimension given by the formula of Y. Watabiki.",

keywords = "hep-th, gr-qc, hep-lat",

author = "Jan Ambjorn and Budd, {Timothy George}",

year = "2013",

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T1 - The toroidal Hausdorff dimension of 2d Euclidean quantum gravity

AU - Ambjorn, Jan

AU - Budd, Timothy George

PY - 2013/7/23

Y1 - 2013/7/23

N2 - The lengths of shortest non-contractible loops are studied numerically in 2d Euclidean quantum gravity on a torus coupled to conformal field theories with central charge less than one. We find that the distribution of these geodesic lengths displays a scaling in agreement with a Hausdorff dimension given by the formula of Y. Watabiki.

AB - The lengths of shortest non-contractible loops are studied numerically in 2d Euclidean quantum gravity on a torus coupled to conformal field theories with central charge less than one. We find that the distribution of these geodesic lengths displays a scaling in agreement with a Hausdorff dimension given by the formula of Y. Watabiki.

KW - hep-th

KW - gr-qc

KW - hep-lat

U2 - 10.1016/j.physletb.2013.06.009

DO - 10.1016/j.physletb.2013.06.009

M3 - Tidsskriftartikel

SN - 0370-2693

VL - 724

SP - 328

EP - 332

JO - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

JF - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

IS - 4-5

ER -