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 paper we show that this method can be extended to higher correlations and higher (n-particle irreducible) effective actions. As an example, we investigate third- and fourth-order correlations by adding stochastic sources to the Schwinger–Dyson equations derived from the 2-particle irreducible effective action. This method is a simple way to investigate the nonlinear dynamics of quantum fluctuations.
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More From: Journal of Physics A: Mathematical and Theoretical
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