In this paper, we explore the relationship between holographic Wilsonian
renormalization groups and stochastic quantization in conformally coupled
scalar theory in AdS4β. The relationship between these two different
frameworks is firstly proposed in arXiv:1209.2242 and tested in various free
theories. However, research on the theory with interactions has recently begun.
In this paper, we show that the stochastic four-point function obtained by the
Langevin equation is completely captured by the holographic quadruple trace
deformation when the Euclidean action SEβ is given by SEβ=β2Iosβ
where Iosβ is the holographic on-shell action in the conformally coupled
scalar theory in AdS4β.Comment: 17+1 page