Survey of mathematical foundations of QFT and perturbative string theory

Abstract

Recent years have seen noteworthy progress in the mathematical formulation of quantum field theory and perturbative string theory. We give a brief survey of these developments. It serves as an introduction to the more detailed collection "Mathematical Foundations of Quantum Field Theory and Perturbative String Theory".Comment: This is the introduction to the upcoming volume "Mathematical Foundations of Quantum Field Theory and Perturbative String Theory", edited by the authors and published by the American Mathematical Societ