Exact Spectral Dimension of the Random Surface

Details Exact Spectral Dimension of the Random Surface Exact Spectral Dimension of the Random Surface

2009-08-25

arxiv.org/abs/0908.3543v3

Physics

High Energy Physics

High Energy Physics - Theory

harvmac, 14 pages, 3 figures

Scientific paper

We propose a new method of the analytical computation of the spectral dimension which is based on the equivalence of the random walk and the q-state Potts model with non-zero magnetic field in the limit $q\to 0$. Calculating the critical exponent of the magnetization of this model on the dynamically triangulated random surface by means of a matrix model technique we obtain that the spectral dimension of this surface is equal to two.

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