Rigorous non-perturbative formulation of quantum field theory

Develop a mathematically rigorous and general non-perturbative formulation of quantum field theory that defines interacting models beyond perturbation theory and establishes their consistency across the full parameter space.

Background

In discussing AdS-CFT as a route to non-perturbative quantum gravity via a well-defined boundary CFT, the authors note that a fully rigorous and general non-perturbative definition of quantum field theory remains out of reach.

They reference the broader mathematical status of QFT, including its appearance among the Clay Millennium problems, and contrast QFT’s open non-perturbative formulation with the even less understood foundational principles of quantum gravity.