Symmetries of generating functionals of Langevin processes with colored multiplicative noise
arXiv:1007.5059 · doi:10.1088/1742-5468/2010/11/P11018
Abstract
We present a comprehensive study of the symmetries of the generating functionals of generic Langevin processes with multiplicative colored noise. We treat both Martin-Siggia-Rose-Janssen-deDominicis and supersymmetric formalisms. We summarize the relations between observables that they imply including fluctuation relations, fluctuation-dissipation theorems, and Schwinger-Dyson equations. Newtonian dynamics and their invariances follow in the vanishing friction limit.
44 pages
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