Ito and Stratonovich calculuses in stochastic field theory
classification
❄️ cond-mat.stat-mech
math-phmath.MP
keywords
stochasticstratonovichactionambiguitiesanalyzedarisingcalculusescorresponding
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Ambiguities in the functional-integral solution of the stochastic differential equation (SDE) arising due to the definition on the functional Jacobi determinant and the white-in-time limit in the noise are analyzed and two forms of the de Dominicis-Janssen dynamic action proposed corresponding to the Ito and Stratonovich interpretations of the SDE.
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