Prof. Pavel Etingof
Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and String Theory.
Etingof, Pavel. 18.238 Geometry and Quantum Field Theory, Fall 2002. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-238-geometry-and-quantum-field-theory-fall-2002 (Accessed). License: Creative Commons BY-NC-SA