Fourth order full quantum correlations from a Langevin-Schwinger-Dyson equation
arXiv:0810.3239 · doi:10.1088/1751-8113/42/26/265401
Abstract
It is well known that some quantum and statistical fluctuations of a quantum field may be recovered by adding suitable stochastic sources to the mean field equations derived from the Schwinger-Keldysh (Closed-time-path) effective action. In this note we show that this method can be extended to higher correlations and higher (n-particle irreducible) effective actions. As an example, we investigate three and fourth order correlations by adding stochastic sources to the Schwinger - Dyson equations derived from the 2-particle irreducible effective. This method is a simple way to investigate the nonlinear dynamics of quantum fluctuations.
20 pages. Accepted for publication in J. Phys. A
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