Ito and Stratonovich calculuses in stochastic field theory

Abstract

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.

Invited talk presented at The 12th Small Triangle Meeting on Theoretical Physics, September 19- 22, 2010, Stakč\'ın, Slovakia; Institute of Experimental Physics, Košice, 2011, 21-30

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