Nonequilibrium Fluctuation Dissipation Relation from Doi-Peliti Field Theory

We develop Doi-Peliti field theory for driven, interacting particles coupled to a thermal bath. This mapping of classical particles to a field theory does not require any assumption of large particle numbers or slow modes, and the system may be driven arbitrarily far from equilibrium.  We then show how differentiation of the Jarzynski relation results in a nonequilbrium fluctuation dissipation relation.