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

Theoretical high energy, astroparticle and gravitational physics

5 Citations (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.

Original language	Undefined/Unknown
Journal	Physics Letters B
Volume	724
Issue number	4-5
Pages (from-to)	328-332
ISSN	0370-2693
DOIs	https://doi.org/10.1016/j.physletb.2013.06.009
Publication status	Published - 23 Jul 2013

Keywords

hep-th
gr-qc
hep-lat

Access to Document

10.1016/j.physletb.2013.06.009

Cite this

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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.",

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AU - Budd, Timothy George

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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.

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KW - hep-lat

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