Ito and Stratonovich calculuses in stochastic field theory

Details Ito and Stratonovich calculuses in stochastic field theory Ito and Stratonovich calculuses in stochastic field theory

2011-02-08

arxiv.org/abs/1102.1581v1

Physics

Condensed Matter

Statistical Mechanics

Invited talk presented at The 12th Small Triangle Meeting on Theoretical Physics, September 19- 22, 2010, Stakcin, Slovakia

Scientific paper

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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