1996/06/14 by Victor Gurarie, Gurarie, V.
Economics, Econometrics and Finance · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Cold Atom Physics and Bose-Einstein Condensates #Complex Systems and Time Series Analysis #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.hep-th/9606089
openalex publication_date 1996/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 κ 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.