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arXiv · hep-th/9801150

On the width of handles in two-dimensional quantum gravity

Thordur Jonsson
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Abstract

We discuss the average length l of the shortest non-contractible loop on surfaces in the two-dimensional pure quantum gravity ensemble. The value of $γ_{str}$ and the explicit form of the loop functions indicate that l diverges at the critical point. Scaling arguments suggest that the critical exponent of l is 1/2. We show that this value of the critical exponent is also obtained for branched polymers where the calculation is straightforward.

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Thordur Jonsson. 1998-01-22. On the width of handles in two-dimensional quantum gravity. https://doi.org/10.1016/s0370-2693(98)00242-1

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