Symmetries of generating functionals of Langevin processes with colored multiplicative noise
Aron C. (Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Université Pierre et Marie Curie, Paris VI, 4 pl. Jussieu, 75005 Paris, FRANCE) Biroli G. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France) Cugliandolo L.F. (Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Université Pierre et Marie Curie, Paris VI, 4 pl. Jussieu, 75005 Paris, FRANCE)
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.