Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-10-17
J.Phys.A42:265401,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
20 pages. Accepted for publication in J. Phys. A
Scientific paper
10.1088/1751-8113/42/26/265401
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.
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