On the width of handles in two-dimensional quantum gravity

Details On the width of handles in two-dimensional quantum gravity On the width of handles in two-dimensional quantum gravity

1998-01-22

arxiv.org/abs/hep-th/9801150v1

Phys.Lett. B425 (1998) 265-268

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 1 ps figure, latex

Scientific paper

10.1016/S0370-2693(98)00242-1

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 $\gamma_{str}$ 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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