We are interested in the piecewise linear approximation of the $\Phi^4_d,d=2,3$ model, interpreted in the mild sense: $(\partial-\Delta)\phi=\phi^3+\xi.$
for this kind of approximation, how to define the stochastic convolution? Is there a definition that guarantees that the normalization constant as defined here: https://arxiv.org/abs/1504.04143, are time-independent?