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arXiv:hep-th/9801099·v1·High Energy Physics — Theory

The Spectral Dimension of 2D Quantum Gravity

J. Ambjorn🇩🇰 · D. Boulatov🇷🇺 · J.L. Nielsen🇩🇰 · J. Rolf🇩🇰 · Y. Watabiki🇯🇵

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Abstract

We show that the spectral dimension d_s of two-dimensional quantum gravity coupled to Gaussian fields is two for all values of the central charge c <= 1. The same arguments provide a simple proof of the known result d_s= 4/3 for branched polymers.

Comments: 7 pages, Latex

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