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arXiv · 0908.3543

Exact Spectral Dimension of the Random Surface

Igor Goncharenko
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Abstract

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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Igor Goncharenko. 2009-09-10. Exact Spectral Dimension of the Random Surface. https://arxiv.org/abs/0908.3543

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