The metric of two-dimensional quantum gravity interacting with conformal matter is believed to collapse to a branched polymer metric when the central charge c > 1. We show analytically that the spectral dimension, ds, of such a branched polymer phase is 4/3. This is in good agreement with numerical simulations for large c.
|Number of pages||26|
|Journal||Nuclear Physics B|
|Publication status||Published - 6 Apr 1998|
Bibliographical noteFunding Information:
T.J. would like to thank Bergfinnur Durhuus for many helpful discussions. This work was supported in part by PPARC visiting fellowship grant GR/K95086 and by EU grant ERBCHRX CT930343.
- Branched polymer
- Conformal matter
- Quantum gravity
- Spectral dimension