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The impact of a random metric upon a diffusing particle

Z. Haba

Abstract

We show that if the singularity of the quantized gravity propagator is $\vert {\bf x}\vert^{-2γ}$ then the mean value of the fourth power of the distance achieved in time $t$ by a diffusing particle behaves as $t^{2(1-γ)}$ for a small $t$.

The impact of a random metric upon a diffusing particle

Abstract

We show that if the singularity of the quantized gravity propagator is then the mean value of the fourth power of the distance achieved in time by a diffusing particle behaves as for a small .

Paper Structure

This paper contains 3 sections, 42 equations.

Table of Contents

  1. Introduction
  2. Diffusion in a random metric
  3. Discussion