Consistency relations for non-Gaussianity

This is the authors' abstract. We don't add key points for this paper.

We investigate consistency relations for non-Gaussianity. We provide a model-independent dynamical proof for the consistency relation for three-point correlation functions from the Hamiltonian and field redefinition. This relation can be applied to single-field inflation, multi-field inflation and the curvaton scenario. This relation can also be generalized to n -point correlation functions up to arbitrary order in perturbation theory and with arbitrary number of loops.