Exact Computations in the Burgers Problem

Details Exact Computations in the Burgers Problem Exact Computations in the Burgers Problem

1996-06-14

arxiv.org/abs/hep-th/9606089v2

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LATEX, the interpretations of the results is completely changed in the replaced version

Scientific paper

We complete the program outlined in the paper of the author with A. Migdal and sum up exactly all the fluctuations around the instanton solution of the randomly large scale driven Burgers equation. We choose the force correlation function $\kappa$ to be exactly quadratic function of the coordinate difference. The resulting probability distribution satisfy the differential equation proposed by Polyakov without an anomaly term. The result shows that unless the anomaly term is indeed absent it must come from other possible instanton solutions, and not from the fluctuations.

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