Hamiltonian and Wheeler-DeWitt Equation

Abstract

In this note, in the context of the AdS/CFT correspondence, the holographic derivation of the Wilsonian effective action is proposed. Then, the exact RG equation in the boundary theory is derived from the Wheeler-DeWitt equation of the bulk, following the suggestion of [1],[2], and [3]. The relationship between the exact RG and Stochastic Quantization[4],[5] is briefly discussed.