A semi-classical Quantum Field Theory?

Revolution will not be televised
(but it will be on video).

A semi-classical quantization of Quantum Field Theory would use the exact, non-perturbative unstable solutions of the classical equations as WKB, saddle-point approximations to the quantum Van Vleck / Gutzwiller propagators:

semicl QFT

Within the last few years our understanding of numerically exact, non-perturbative solutions of Navier-Stokes equations, the most studied classical field theory, has made great strides. The theory triangulates the infinite-dimensional Navier-Stokes state space (not low-dimensional models) by sets of exact solutions (equilibria, traveling waves, periodic orbits, ...) which form a rigid backbone which enables us to describe the sinuous motions of a turbulent field. These solutions and their inter-relations are more profitably visualized in the infinite-dimensional state space than as fields over 3-dimensional configuration space.

pCf p35p77
The state space visualization is novel, and might be a source of inspiration for how to think about classical field theories for you, a quantum field theorist.

The tutorial develops the theory behind this state space representation in a sequence of gentle steps.