## Diagram expansions in classical stochastic field theory / Diagram series and stochastic differential equations

• We show that the solution to an arbitrary c-number stochastic differential equation (SDE) can be represented as a diagram series. Both the diagram rules and the properties of the graphical elements reflect causality properties of the SDE and this series is therefore called a causal diagram series. We also discuss the converse problem, i.e. how to construct an SDE of which a formal solution is a given causal diagram series. This then allows for a nonperturbative summation of the diagram series by solving this SDE, numerically or analytically.

Author: L.I. Plimak, M. Fleischhauer, M. J. Collett urn:nbn:de:hbz:386-kluedo-11500 Preprint English 1999 1999 Technische Universität Kaiserslautern 2001/05/15 Fachbereich Physik 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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