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arXiv · hep-ph/9912229

Langevin Interpretation of Kadanoff-Baym Equations

C. Greiner·S. Leupold
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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.

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C. Greiner, S. Leupold. 1999-12-03. Langevin Interpretation of Kadanoff-Baym Equations. https://doi.org/10.1142/9789812793812_0008

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