Renormalisability of probability-computing path-integral formulations

Determine whether path-integral methods that compute probabilities rather than amplitudes—specifically, classical–quantum stochastic path integrals—can be made renormalisable.

Background

Because the classical–quantum theory uses a stochastic (probability-computing) path integral, standard renormalisation methods for amplitude-based quantum field theories do not directly apply. The authors suggest exploring renormalisation directly at the level of probability-computing path integrals.

They explicitly pose the question of whether such a program can be carried out in a fully renormalisable way.