The toroidal Hausdorff dimension of 2d Euclidean quantum gravity

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Jan Ambjorn, Timothy George Budd

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.
TidsskriftPhysics Letters B
Udgave nummer4-5
Sider (fra-til)328-332
StatusUdgivet - 16 maj 2013

ID: 91780814