タイトル：
Renormalization group and diffusion equation

アブストラクト：
We study relationship between renormalization group and diffusion
equation. We consider the exact renormalization group equation for a scalar
field that includes an arbitrary cutoff function and an arbitrary quadratic
seed action. As a generalization of the result obtained by Sonoda and
Suzuki, we find that the correlation functions of diffused fields with
respect to the bare action agree with those of bare fields with respect to
the effective action, where the diffused field obeys a generalized
diffusion equation determined by the cutoff function and the seed action
and agrees with the bare field at the initial time.