Question about Polchinski exact renormalization group equation

I’ve been looking into renormalization lately and would like to know 2 things about the Polchinski exact renormalization group equation (PERGE): According to Wikipedia (https://en.wikipedia.org/wiki/Renormalization_group), the PERGE is defined by $$frac{dZ_{Lambda}}{dLambda}=0 Rightarrow frac{dS_{Int,Lambda}}{dLambda}=int frac{d^4p}{2(2pi)^4}[(frac{delta S_{Int,Lambda}(p)}{delta phi(p)})^{dagger}frac{dR_{Lambda}^{-1}(p)}{dLambda}frac{delta S_{Int,Lambda}(p)}{delta phi(p)}-Tr[R_{Lambda}^{-1}(p)frac{delta^2}{(delta phi(p))^2}S_{Int,Lambda}(p)]],$$ with $Z_{Lambda}$ the partition function for the momentum scale, $Lambda$, and $S_{Int,Lambda}$ the Euclideanized interaction action corresponding to $Lambda$. Supposedly, $phi(p)$ are the momentum-space field configurations.

My 1st question is: Is this formulation of the PERGE correct when considering a complex scalar field?

My second question is: what are $R_{Lambda}$ and $phi(p)$? Specifically, if $phi(p)$ can be taken as a momentum-based complex scalar field, is it then basically a superposition of the 4-momentum matter annihilation and anti-matter creation operators?