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The three-loop contribution to the anomalous dimension of the diffusion coefficient of the model of a random walk in a potential random field with long-range correlations is calculated. Contrary to earlier conjectures, the result is not zero for logarithmic growth of the correlations, but vanishes only in one and two dimensions, in which the one-loop contribution yields the exact value of the anomalous dimension.
Original language | English |
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Article number | 008 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 23 |
Issue number | 15 |
DOIs | |
State | Published - 1 Dec 1990 |
ID: 41388580