Michael Douglas

Foundation of Quantum Field Theory



Abstract

One of the long-standing and central problems of the math-physics interface is to make good definitions of quantum field theory, which are nonperturbative and can make contact with the many nonperturbative methods used in physics, can be made rigorous if desired, and are as simple to work with as possible. We discuss questions and problems for which it is important to have such foundations, and survey some of the approaches to making them.