Langevin Interpretation of Kadanoff-Baym Equations

Abstract

We show that the nonperturbative quantum transport equations, the `Kadanoff-Baym equations', can be understood as the ensemble average over stochastic equations of Langevin type. For this we couple a free scalar boson quantum field to an environmental heat bath with some given temperature T. The inherent presence of noise and dissipation related by the fluctuation-dissipation-theorem guarantees that the modes or particles become thermally populated on average in the long-time limit. This interpretation leads to a more intuitive physical picture of the process of thermalization and of the interpretation of the Kadanoff-Baym equations.

Talk presented at the Workshop on `Kadanoff-Baym Equations: Progress and Perspectives for Many-Body-Physics', 20-24. September 1999, Rostock, Germany; 9 pages LATEX, 1 .ps fig., sprocl.sty