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Symmetries of generating functionals of Langevin processes with colored multiplicative noise (1007.5059v2)
Published 28 Jul 2010 in cond-mat.stat-mech and cond-mat.soft
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.
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